2024/11/26 by Р. А. Марин, Marin, Ryan · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Astrophysical Phenomena and Observations
paper · pdf · doi:10.48550/arxiv.2411.17938
In this work we extend the proof of Ryan Unger and Christoph Kehle's work, "Gravitational collapse to extremal black holes and the third law of black hole thermodynamics", to construct examples of black hole formation from regular, one-ended asymptotically flat Cauchy data for the Einstein-Maxwell charged scalar field system in maximally-symmetric 3+1 dimensional spacetime which are exactly isometric to dS4/AdS4 Reissner Nördstrom black holes after a finite advanced time along the event horizon. Furthermore, the apparent horizon coincides with that of a vacuum at finite advanced time. This paper exists as an extension of the aforementioned work done by Unger and Kehle which disproves the "third law of black hole thermodynamics" originally posed by Hawking and Bardeen's "The Four Laws of Black Hole Mechanics". We begin with a brief introduction to the history of black hole thermodynamics, tracing the the lineage of the third law of black hole thermodynamics up to Kehle & Unger's 2022 work; the basepoint for our extension to dS/AdS spacetime. We adapt the machinery from Kehle and Unger to Schwarzschild and Reissner-Nördstrom solutions in dS4 and AdS4 spacetime. Then, we study the relevant manifold gluing theory and reprove necessary gluing theorems in dS4 and AdS4. Finally, we provide analysis of the third law of black hole thermodynamics in these maximally symmetric spacetimes.