Black hole Hookean law and thermodynamic fragmentation: Insights from the maximum force conjecture and Ruppeiner geometry
Di Gennaro S. Good M.R.R. Ong Y.C.
June 2022American Physical Society
Physical Review Research
2022#4Issue 2
We show that the notion of Hookean lawF=kx, suitably defined in asymptotically flat singly spinning Myers-Perry black hole space-times in dimensions d≥5, is related to the Emparan-Myers fragmentation (splitting of a black hole into two becomes thermodynamically preferable). Specifically, the values of black hole parameters when fragmentation occurs correspond to the maximal value of F. Furthermore this always happens before F reaches 1/4 in Planck units. These results suggest that a version of maximum force conjecturemay be relevant for black hole thermodynamics. We also relate these findings to the Ruppeiner thermodynamic geometry of these black holes and speculate on the implications for the underlying microstructures of black hole horizons.
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Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 180 Siwangting Road, Jiangsu Province, Yangzhou, 225002, China
Department of Physics and Energetic Cosmos Laboratory, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Shanghai Frontier Science Center for Gravitational Wave Detection, School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, China
Center for Gravitation and Cosmology
Department of Physics and Energetic Cosmos Laboratory
Shanghai Frontier Science Center for Gravitational Wave Detection
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