Does continuous acceleration eventually create a black hole

In summary, the concept of relativistic mass is an outdated and confusing one, and is not used much by physicists. In general relativity, mass is not the source of gravity, but rather the energy-momentum-tensor is. The momentum equation does not include the influence of relativistic mass from gravity, and this concept should not be applied to special relativity or general relativity. Therefore, the answer to the question of whether the mass caused by high velocity has gravity is "no".
  • #1
ddesaneis
12
0
The following equation equates relativistic mass to rest mass
rimg228.gif

http://scienceworld.wolfram.com/physics/RestMass.html

Does the mass caused by high velocity have gravity?
 
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  • #2
In general relativity, mass is not the source of gravity, the energy-momentum-tensor is and it also contains information about mass.

You should also read this:
What is relativistic mass and why it is not used much?
Physicists do not talk much about rest mass simply because it is an archaic concept which only tends to confuse the general public.
 
  • #3
Consider the following equation:
upload_2015-11-23_6-25-30.png

https://en.wikipedia.org/wiki/Mass_in_special_relativity#Controversy

velocity (v) * the sum of m0 + mass associated with velocity.

By this logic, momentum (p) is also a function of gravitational constant. If a GPS satellite returns from orbit to launch site, the relativistic mass within the satellite will correspond to the gravity and velocity of the launch site.
https://www.uam.es/personal_pdi/ciencias/jcuevas/Teaching/GPS_relativity.pdf
 
  • #4
That expression for momentum is correct, but it has nothing to do with the gravitational constant (neither G nor anything derived from it appears).

There's another way of thinking about the question in your original post: right now, even as we speak, you are moving at 99.9999% of the speed of light relative to something somewhere. Are you showing any signs of turning into a black hole?
 
  • #5
The momentum equation does not include the influence of relativistic mass from gravity, but should.

Nugatory said:
There's another way of thinking about the question in your original post: right now, even as we speak, you are moving at 99.9999% of the speed of light relative to something somewhere. Are you showing any signs of turning into a black hole?

If a GPS satellite returns from orbit to launch site, the relativistic energy within the satellite will correspond to the gravity and velocity (v) of the launch/return site.
https://www.uam.es/personal_pdi/ciencias/jcuevas/Teaching/GPS_relativity.pdf
 
  • #6
ddesaneis said:
The momentum equation does not include the influence of relativistic mass from gravity, but should.
No it should not. It is a special relativistic equation and there is no gravity in SR. In addition, when you go to GR it becomes a local statement which is still true. Furthermore, relativistic mass is an obsolete concept and you are trying to apply Newtonian gravity to SR rather than going into the actual GR description. This is doomed to fail and to create misunderstandings.
 
  • #7
The answer to the OP question, as has been said several times, is "no". Enough said. Thread closed.
 

FAQ: Does continuous acceleration eventually create a black hole

Does continuous acceleration eventually create a black hole?

Yes, continuous acceleration can theoretically lead to the creation of a black hole. This is based on Einstein's theory of general relativity, which states that the curvature of space-time increases with the presence of mass and energy. As an object accelerates, its mass also increases, leading to a stronger gravitational pull that can eventually reach the critical point where a black hole is formed.

Is there a specific speed at which a black hole is created through continuous acceleration?

No, there is no specific speed at which a black hole is created. The creation of a black hole depends on the amount of mass and energy present, as well as the rate of acceleration. The stronger the acceleration and the greater the mass and energy, the faster a black hole can be formed.

Can any object create a black hole through continuous acceleration?

Technically, any object with mass and energy can create a black hole through continuous acceleration. However, for an object to create a black hole, it would need an immense amount of energy and acceleration, making it highly unlikely for us to witness this phenomenon in everyday life.

Is it possible for a black hole to be created on Earth through continuous acceleration?

No, it is not possible for a black hole to be created on Earth through continuous acceleration. To create a black hole, an object would need to exceed the escape velocity of Earth, which is approximately 11.2 kilometers per second. This is currently not possible with any known technology.

Can continuous acceleration of a spacecraft lead to a black hole?

Yes, continuous acceleration of a spacecraft can theoretically lead to the creation of a black hole. However, this would require a tremendous amount of energy and acceleration, making it currently impossible for us to achieve with our current technology. Additionally, spacecrafts often use short bursts of acceleration rather than continuous acceleration, which would not lead to the creation of a black hole.

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