EXACT INNER METRIC AND MICROSCOPIC STATE OF ADS3-SCHWARZSCHILD BHS

Exact inner metric and microscopic state of AdS3-Schwarzschild BHs

Exact inner metric and microscopic state of AdS3-Schwarzschild BHs

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Through full solvability of 2+1 dimensional general relativity we derive out Formation exact dynamic inner metric of collapsing stars with inhomogeneous initial mass distribution but joining with outside Anti-deSitt-Schwarzschild black holes smoothly.We prove analytically by standard quantum mechanics that the log-number of such solutions, or microscopic states of the system is proportional to the perimeter of the outside black holes.Key formulas for generalizing to 3+1D Schwarzschild black holes are also presented.Our result provides a bulk space viewpoint to questions on what the microscopic degrees of freedom are and who their carriers are in various holographic and/or asymptotic Joggers symmetry methods to black hole entropies.It may also shed light for singularity theorem and cosmic censorship related researches.

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