Gravitational Definition and 1000 Threads

Gravity (from Latin gravitas 'weight'), or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are attracted to (or gravitate toward) one another. On Earth, gravity gives weight to physical objects, and the Moon's gravity causes the ocean tides. The gravitational attraction of the original gaseous matter present in the Universe caused it to begin coalescing and forming stars and caused the stars to group together into galaxies, so gravity is responsible for many of the large-scale structures in the Universe. Gravity has an infinite range, although its effects become weaker as objects get further away.
Gravity is most accurately described by the general theory of relativity (proposed by Albert Einstein in 1915), which describes gravity not as a force, but as a consequence of masses moving along geodesic lines in a curved spacetime caused by the uneven distribution of mass. The most extreme example of this curvature of spacetime is a black hole, from which nothing—not even light—can escape once past the black hole's event horizon. However, for most applications, gravity is well approximated by Newton's law of universal gravitation, which describes gravity as a force causing any two bodies to be attracted toward each other, with magnitude proportional to the product of their masses and inversely proportional to the square of the distance between them.
Gravity is the weakest of the four fundamental interactions of physics, approximately 1038 times weaker than the strong interaction, 1036 times weaker than the electromagnetic force and 1029 times weaker than the weak interaction. As a consequence, it has no significant influence at the level of subatomic particles. In contrast, it is the dominant interaction at the macroscopic scale, and is the cause of the formation, shape and trajectory (orbit) of astronomical bodies.
Current models of particle physics imply that the earliest instance of gravity in the Universe, possibly in the form of quantum gravity, supergravity or a gravitational singularity, along with ordinary space and time, developed during the Planck epoch (up to 10−43 seconds after the birth of the Universe), possibly from a primeval state, such as a false vacuum, quantum vacuum or virtual particle, in a currently unknown manner. Attempts to develop a theory of gravity consistent with quantum mechanics, a quantum gravity theory, which would allow gravity to be united in a common mathematical framework (a theory of everything) with the other three fundamental interactions of physics, are a current area of research.

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  1. J

    Relationship between gravitational time dilation and energy?

    The rate that a stationary clock slows down near a massive object, relative to one far away, can be read off from the Schwartzschild metric: $$c^2d\tau^2=\left(1-\frac{r_s}{r}\right)c^2dt^2-\left(1-\frac{r_s}{r}\right)^{-1}dr^2-r^2\left(d\theta^2+\sin^2\theta d\phi^2\right)$$ by setting...
  2. DameLight

    Rotational ACC and Gravitational ACC

    solved thank you : ) 1. Homework Statement A bucket of water of mass 14.2 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.350 m with mass 12.8 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at...
  3. E

    Thin Rod Gravitational Potential and Field Vector

    Homework Statement I am having a hard time understanding where to begin with this problem. Here it is: Consider a thin rod of length L and constant density n that lies on the x-axis with endpoints at x=0 and x=L. (i) Find a formula for the gravitational potential Φ = Φ(x) at the (variable)...
  4. Andre' Quanta

    Hamiltonian Weak Gravitational Field - Learn Free Particle Theory

    In weak field regime i know that it is possible to quantize the gravitational field obtaining a quantum theory of free particles, called gravitons, which is very similar to the one for the electtromagnetic field. Do you know some book in wiich i can study this theory? In anycase what is the...
  5. A

    The Future of Gravitational Lensing: What Physicists Expect in 15 Years

    What do physicists expect to do or find with lensing in the next fifteen years? Is there some specific object(s) they are looking for, or a concept?
  6. T

    Help with gravitational problem

    Homework Statement Given that we know the mass of the moon and the Earth and the distance between their centers as the moon orbits the earth, if the Earth's angular velocity about its own axis is slowing down from say some initial given omega to a final omega (due to tidal friction in reality)...
  7. WannabeNewton

    Calculating Differential Precession of Gyroscopes Due to Gravitational Waves

    To motivate the question, Andy Strominger recently put out a paper on calculating the Sagnac shift of counterrotating beams due to the angular momentum flux of a passing gravitational wave. See here: http://arxiv.org/abs/1502.06120. But consider now two nearby freely falling gyroscopes...
  8. Y

    Gravitational Slowing Justified in Flat/Near-Flat Universe

    The slowing eras of cosmological expansion are generally justified as being due to gravity. How is gravitational slowing justified in a flat or nearly Flat universe. If the universe were closed or if our Hubble sphere were the complete universe, gravitational slowing is a logical consequence...
  9. B

    I Why can't Gravitational Accelerations vanish everywhere?

    In attempt to describe the consequences of the Equivalence Principle, this is almost said: When there are gravitational accelerations present, as for example in the gravitational field of the earth, the space cannot be the flat Minkowski space. Indeed, in the Minkowski space we can have...
  10. D

    Gravitational attraction between two atoms

    The question: Is there a gravitational attraction between two atoms if they are located at a distance of several light years of each other? Or physics does not have the answer to this question yet? ) (Sorry if this question has already been discussed on the forum. Please send a link to the topic...
  11. Sagar Singh

    Gravitational & Electrostatic Force: Why They Attract/Repel

    Hi THere! can somebody please tell me why gravitation and electrostatic force exist? why two charges attract or repel each other, and why two masses always attract each other?
  12. SpiderET

    Speed of light depending on gravitational constant?

    I just wonder if there were any serious (and peer reviewed published, to be in line with guidelines) theory, which had proposed some link between speed of light in vacuum constant and between gravitational constant G. For example a calculation of speed of light based on G. Tried google search...
  13. S

    How many times nuclear force is greater than gravitational f

    Homework Statement Homework Equations [/B]The Attempt at a Solution
  14. S

    Relationship between inertial and gravitational mass?

    I should preface this question by saying that I am not familiar with Einstein's general relativity, so I am trying to understand the relationship between gravitational and inertial mass from a purely classical standpoint. Newton writes that the gravitational force exerted by an object is...
  15. T

    Calculating Gravitational Potential

    Homework Statement :[/B] "Calculate gravitational potential at point Z, which is 8.10 x 107m away from a planet of mass 1.08 x 1023. " (This point is between the planet and a moon, where the gravitational field strength is zero. I'm not sure if that makes a difference. The moon's mass is 4.8 x...
  16. T

    Understanding Gravitational Field Lines Between Two Objects

    Homework Statement "Complete the diagram to display gravitational field lines between two objects of equal mass." Homework Equations N/A as question is descriptive.The Attempt at a Solution Okay, I know it's a bit of a mess but what I'm trying to show here is that the fields are radial and...
  17. A

    Gravitational force between two 1g masses of electrons

    Homework Statement Imagine you could place 1g of electrons 1.0 m away from another 1g of electrons. calculate the electrical force and gravitational force between them. Homework Equations fe= kQ1Q2/r^2 fg=Gm1m2/r^2 The Attempt at a Solution So the number of electron is N= 0.001 /...
  18. newjerseyrunner

    Does light bend due to gravitational tides?

    I was wondering if the way that light vibrates causes it to bend slightly while moving around an object with extreme mass (on top of the bend caused by relativity.) I was drawing what I thought the path of a photon should be around a massive object, but the uncertainty principal bugged me. Am...
  19. T

    Calculate gravitational field strength above surface of Mars

    1. Calculate the gravitational field strength at 500km above Mars' surface. Mass of Mars: 6.39 x 1023 kg Radius of Mars: 3.39 x 103 km Constant G: 6.67 x 10-11 2. I used the equation g = GM / r23. To begin with I added the 500km height above ground to the radius, giving 3.89 x 103 km. I then...
  20. slitted

    Hiding the observer with gravitational measurements?

    Hello again. In a double slit experiment with electrons, suppose that we have the instrumentation to measure how space-time is curved by these particles. Would it be possible to obtain the electron's position and momentum by measuring the change in the direction of photons that move nearby but...
  21. M

    Gravitational Force and Light: Is There a Connection?

    Hello, We know that light get bent near stars (because of its gravitational force), and in fact it cannot escape the gravitational forces of black holes. We also know from Newton's laws of gravity that the gravitational attraction between any two objects is ZERO if any mass is ZERO. We also...
  22. S

    Dot product in the Gravitational Potential Energy formula

    This is the gravitational potential energy formula $$U = -\int_\infty^r\vec{F}_\text{field}\cdot d\vec{r}$$ If r vector's direction is form infinity to r, then it means it has same direction as Gravitational Force. So cos0=1 But after multiplication there is a negative sign here: "-GMm" $$U =...
  23. M

    Gravitational Time Dilation at Event Horizon

    According to Wikipedia, the gravitational time dilation formula is given by t_0 = t_f \sqrt{1 - \frac{2GM}{rc^2}} = t_f \sqrt{1 - \frac{r_0}{r}} where t0 is the proper time between events A and B for a slow-ticking observer within the gravitational field, tf is the coordinate time between...
  24. S

    Does GR reduce gravitational force on a planet's surface?

    Am I correct in thinking that the force of gravity between 2 test objects at rest on a planet's surface is less than it would be for the same objects at rest in deep space? I understand that this occurs because in GR gravitational potential has a mass value which is lost on the surface, while...
  25. F

    Question about gravitational waves, E modes

    Hi everybody, I have been reading about gravitational waves, but I don't get how the E modes work; in one place I read that they were created during the inflation time, but in other I read that they come from the recombination. Does it mean that they were produced almost when the Big Bang...
  26. E

    Gravitational Force of an object

    Just a little curious. What formula did Sir Isaac Newton used to find out the exact value of Earth's gravitational force ? Can we apply that formula to find out the gravitational force of other objects ? Let's say, calculating the gravitational force that my bottle has or our body. I know that...
  27. H

    Dependence of gravitational potential

    I am reading a textbook about potential theory, it mentions that a uniform sphere has 'dependence' on its gravitational potential, in terms of spherical harmonics. [ite I don't understand the term dependence? What does this mean exactly? Cheers
  28. Q

    Measuring Gravitational Redshift due to Galaxies without GR

    Hi guys. How do astrophysicists measure the redshift of electromagnetic waves from galaxies due to gravity without the use of General Relativity? If I can be more specific, how do astrophysicists know that the gravitational redshift of light emitted from some part of a galaxy or galaxy cluster...
  29. S

    Why Gravitational Waves are Decomposed in Spin Weighted Spherical Harmonics

    Hi All, Can someone tell me why gravitational waves are always decomposed in spin weighted spherical harmonics with spin weight -2 ? I'm assuming you can hand wave the answer with something to do with the 'graviton' being a spin 2 particle but this isn't very satisfying to me. Are there any...
  30. C

    E=mc^2, Gravitational Potential & Energy Balance

    If two masses that are separated by a distance are created from pure energy using the equation E=mc^2, where did the gravitational potential energy between them come from? Does this mean the speed of light isn't really constant, and must be changed very slightly to accommodate it? Could it be...
  31. E

    The Importance of Gravitational Frequency Shift in GPS Measurements

    I have been studying the "fallen" photon experiment, in which the frequency of a photon changes as it falls through a height H. f'=f_0(1+\frac{gH}{c^2}) It is often stated that this is a huge factor in the application of GPS. However, I do not understand why. I understand that the photon will...
  32. T

    Have we derived the Gravitational constant via General Rel?

    My friend and I were discussing this, and google didn't seem to reveal any result. Much like how Bohr's theory managed to derive the Rydberg constant without much effort, has the gravitational constant been found in terms of other quantities yet? It just seems bizarre that Newton proposed a...
  33. pdaniel

    Earth's Electric & Gravitational Field: Direction, Shape & Height

    Homework Statement Earth actually has an electric field of 1.0 x 10^2 N/C at its surface pointing toward the center. (b) Compare Earth's electric field and gravitational field in terms of i) direction ii) shape iii) how it changes as height increases. c) What is the largest mass that can be...
  34. D

    Centripetal combined with Gravitational Force

    Hi! So I learned Newtons Law of Gravity and used the numbers to calculate that the acceleration due to the attraction between masses is 9.8m/s/s. Hooray! This is what I've learned is the acceleration due to gravity. However, does the rotation of the Earth and the subsequent centrifugal force...
  35. NotZakalwe

    Gravitational Potential of Hanging Cord

    Homework Statement A uniform cord of length .25 meters and mass .015 kg is initially stuck to a ceiling. Later, it hangs vertically from the ceiling with one end still stuck. What is the change in gravitational potential energy of the cord with this change in orientation?Homework Equations Ug...
  36. F

    Does h-bar change in gravitational waves?

    Heisenberg's Uncertainty Principle (HUP) tells us that the standard deviation in position times the standard deviation in momentum is equal to Planck's constant divided by 4π. And HUP also causes there to be a zero point energy in the fields of QFT. This is because position and moment can not...
  37. wolram

    Understanding Gravitational Radiation: Exploring the Effects on Space-Time

    I have been reading up on GR and for the life of me i can not understand how GWs travel through or distort space time, do they distort ST or do they travel with space time?
  38. Spinnor

    Thermodynamics of gas in very strong gravitational field.

    Suppose I have a cylinder of gas and at time t=0 I can turn on a strong vertical gravitational force. Let the force change quickly (but a time long compared the mean free path divided by the average gas particle velocity) to reach some constant maximum value F(z,t) = F_max. (This force can be...
  39. ShayanJ

    Gravitational Collapse Calculations Problem Solved

    I'm reading T. Padmanabhans General Relativity. In section 7.6, he describes the gravitational collapse of a sphere of pressureless dust(So ## T_{\mu \nu}=\rho u_{\mu} u_{\nu} ##). I should say his argument is the same as Landau's, but reading Landau's didn't help too. At first, he assumes a...
  40. aditya ver.2.0

    Dirac theory over gravitational constant reduction.

    Dirac had proposed that Gravitational constant would reduce with time.Why?
  41. R

    Why is gravitational acceleration regarded as a constant?

    I am hoping to recover some of the knowledge of physics I gained in high school that has vanished into the mists of time. Currently, I am being abused on Facebook by a self-proclaimed authority who ridicules my contention that gravitational acceleration is a constant. I get the idea that gravity...
  42. SnakeDoc

    Gravitational Potential energy Problem

    Homework Statement A projectile is fired vertically from Earth's surface with an initial speed of 3.1 km/s. Neglecting air drag, how far above the surface of Earth will it go? Homework Equations KF+UF=KI+UF U=-G(M1m2)/r2 K=1/2mv2 mass of Earth = 5.972E24 radius of Earth = 6371km G=6.673E-11...
  43. SpacemanRich

    Gravitational Force Problem - Help

    Homework Statement As a moon follows it's orbit around a planet, the maximum gravitational force exerted on the moon by the planet exceeds the minimum gravitational force by 11%. Find the ratio rmax / rmin, where rmax is the moon's maximum distance from the center of the planet and rmin is...
  44. R

    Definition of gravitational potential

    Homework Statement The definition of gravitational potential at a point in my textbook is "the work done per kg to move a small test mass from infinity to that point" I am having difficulty grasping this concept, how is work done bringing an object closer to earth?? shouldn't work be done...
  45. A

    Exploring Gravitational Effects of a Neutron Star on an Object

    I try to find answer to quite basic question. Let's imagine neutron star and object with mass of 1 kg located far from the neutron star. Total energy of the object is ##E = U_g + mc^2##, for case when its velocity is zero and and ##U_g## is potential energy of gravitation. The neutron star have...
  46. B

    Understanding Gravitational Fields: Patterns, Potentials, and Velocity

    Homework Statement Need someone to confirm if I answered correctly. Thanks for your support :) A) Draw the pattern of the gravitational flux passing through a horizontal surface A, of area 1m² close to the Earth's surface. B) What is meant by the phrase "Gravitational potential at a point in a...
  47. jk22

    Relativistic correction to the gravitational force?

    I considered a free falling object in the Schwarzschild metric at rest at infinity and found as approximation the acceleration : $$\frac{d^2 r}{dt^2}\approx -\frac{GM}{r^2}+\frac{3G^2M^2}{r^3c^2}$$ This would mean if there are no sign error in some sense that the force becomes repulsive at...
  48. T

    Gravitational Force on a Particle in Jupiter's Core

    Homework Statement Jupiter has a core of liquid metallic hydrogen, with uniform density $\rho_c$, with radius $R_c$. This is surrounded by a gaseous cloud $R_g$, where $R_g>R_c$. Assume the cloud is of uniform density $\rho_g$. The problem also specifies that we are to assume both regions of...
  49. BilboBombadillo

    Help with circular velocity question (unit conversions?)

    Homework Statement Consider a satellite in circular low Mars orbit 300km above the planetary surface. R = 3396km M = 6.419 x 1023kg G = 6.674 x 10-11m3/kg/s2 Find the orbital velocity of the satellite (using the given values, I assume, as there is some inaccuracy in the real-life mass value...
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