Understanding Schwarzschild Radius Formula & Escape Velocity Calculation

In summary, Karl Schwardzchild used the speed of light to obtain the critical radius for escape velocity in his theory of black holes. However, the substitution of this speed in the equation results in a paradox, as objects cannot escape the gravitational pull of a massive object even with the speed of light. The author suggests a new equation for the escape velocity of a black hole, but it raises questions about how objects could possibly achieve speeds greater than the speed of light. Additionally, the author has found a discrepancy between their equation and the theories of Schwardzchild and Einstein. They are seeking input and discussion on this puzzling issue.
  • #1
Abbas Sherif
28
0
I have a problem with the formula for obtaining the Schwardzchild's radius. Karl Schwardzchild substituted the speed of light in the escape velocity's formula for a body to obtain the Rc(critical radius as he called it). He used this form the proven deduction that light is the speed limit for the universe and that even light won't escape the Earth's gravitational pull. Now, if we are to solve the Rc equation for C, we have 2GM/Rc, where Cshould be the escape velocity. But in the Ve equation, if an object is moving with the velocity of Ve, it escapes the massive object's gravitational field, but even with the Ve which is C in the Rc equation, an object cannot escape the massive object's gravitational field. this should mean that C was used as a limit to calculate the limiting radius. But with our knowledge of the radii of superneutron stars or whatever can crumble into a black hole, we can calculate C' (Ve of black hole-some value greater than C).

We can use the equation C'^2=C^Rc/r where C' is some value greater than C or escape speed of teh black hole, C is the speed of light, Rc is the critical radius and r is radius before it crumbled into a black hole.

With things constant and a black hole is not absorbing other matters, speeds greater than C will b attainable with this equation but how will objects be made to obtain these speeds greater that light is still the question.

If anyone has an idea on this, pls let's discuss it
 
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  • #2
I sent this article and later I found another problem. Though the equation of the escape velocity of the black hole I postulated is compatible with substitutions and dimensional analysis, we find out that the escape velocity now will always be less than the speed limit of the speed of Light which is not in conformation with the theory of black holes suggested by schwardzschild and einstein. can somebody look at this and tell me what is happening please. this is extremely puzzling
 

Related to Understanding Schwarzschild Radius Formula & Escape Velocity Calculation

1. What is the Schwarzschild radius?

The Schwarzschild radius is a mathematical concept derived from Albert Einstein's theory of general relativity. It represents the distance from the center of a non-rotating black hole at which the escape velocity exceeds the speed of light, making it impossible for anything, including light, to escape from within this radius.

2. How is the Schwarzschild radius calculated?

The formula for calculating the Schwarzschild radius is Rs = 2GM/c^2, where G is the gravitational constant, M is the mass of the black hole, and c is the speed of light. This formula assumes that the black hole is non-rotating and has no electric charge.

3. What is the significance of the Schwarzschild radius?

The Schwarzschild radius is significant because it marks the boundary of the event horizon, the point of no return for anything entering a black hole. It also provides a theoretical limit to the size a black hole can reach, as anything larger would collapse into a singularity.

4. How does the Schwarzschild radius affect time and space?

As objects approach the Schwarzschild radius, they experience extreme gravitational time dilation, meaning time appears to slow down for an outside observer. The radius also warps the fabric of space, causing it to curve and stretch, creating the strong gravitational pull that characterizes black holes.

5. Can the Schwarzschild radius be observed or measured?

The Schwarzschild radius itself cannot be directly observed or measured, as it marks the point of no return for anything entering a black hole. However, its effects on the surrounding environment, such as gravitational lensing and time dilation, can be observed and used to indirectly measure the radius.

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