Abstract
In recent works, a construction was proposed resulting in emergent universes inside black holes. This result can be obtained from a 4D black hole embedded in a 5D spacetime with the fifth dimension compactified on a circle [0, 2] (0 and 2 are identified) such that the two branes are at 0 and 1. In the present work, we study this setup by deriving particles’ equations of motion in the new universes, based on redefining energy and angular momentum. This leads to disappearance of the singularity in centers of black holes in classical General Relativity.
Highlights
Black holes were introduced as solutions for Einstien’s field equations by K
This result can be obtained from a 4D black hole embedded in a 5D spacetime with the fifth dimension compactified on a circle [0, 2] (0 and 2 are identified) such that the two branes are at 0 and 1
We study a particular metric of a 4D black hole embedded in a 5D spacetime within the context of Brane world cosmology
Summary
Black holes were introduced as solutions for Einstien’s field equations by K. Schwarzschild solution represents a non-rotating, non-charged spherically symmetric black hole. This solution suffers from a singularity at the center of the black hole. Cosmological perturbations were studied in the emergent universe [6], and a mechanism of reheating [7] was proposed using the decay of the S-brane as an initiator for the big bang and the radiation dominated era. Introducing an additional compact dimension as the fifth dimension we prove that particles falling into the black hole from the visible or the hidden brane do not experience a singularity with the assumption that the cosmological constant is negative or zero inside the horizon. An emergent cosmology can be defined inside the horizon between the two branes
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