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Exact Inner Metric and Microscopic State of AdS$_3$-Schwarzschld BHs
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Through full solvability of 2+1 dimensional general relativity we derive out 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 symmetry methods to black hole entropies. It may also shed light for singularity theorem and cosmic censorship related researches.
Forward citations
Cited by 2 Pith papers
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Complementarity of Gravitation Collapse (II) XOB and the Damping Gravitational Waveform as Evidences
The paper argues that binary black-hole merger waveforms damp only if black holes have extended inner structure that deforms like a banana during merger.
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Complementarity of Gravitational Collapse (I) Origin of the Bekenstein-Hawking Entropy
The paper claims black hole entropy arises from counting quantum states of collapsing dust shells, with Schwarzschild and Lemaitre coordinates giving complementary views of the same horizonless interior.
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