Relativity and Cosmology

   

Escape Velocity and Schwarzschild's Solution for Black Holes

Authors: Amir Ali Tavajoh

Escape velocity for black holes depends on the region we are at. When we are on the Schwarzschild’s sphere, it’s equal to the velocity of light and when we are inside the Schwarzschild’s sphere, it exceeds the velocity of light. On the other hand, tidal forces act on the object and turn it apart into pieces. Based on angular momentum conservation, as the pieces of object go inside the Schwarzschild’s radius, because their distance with singularity decreases, their velocity increases in order to make a balance and the angular momentum stay constant. The Schwarzschild’s solution for schwarzschild’s sphere and inside, will show what happens to the space-time; in the Schwarzschild’s sphere, the space would be undefined and the time warps, but inside the sphere, "r" and “t” change their place in equation and because of "θ" and "φ" object’s geodesic will bend and object swirl around the singularity but "r" behaves like time and "t" behaves like space. Needless to say, g_μυ will be different.

Comments: 9 Pages.

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Submission history

[v1] 2016-09-24 11:38:11

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