BLACK HOLE HOOKEAN LAW AND THERMODYNAMIC FRAGMENTATION: INSIGHTS FROM THE MAXIMUM FORCE CONJECTURE AND RUPPEINER GEOMETRY
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Date
2022
Authors
Gennaro, Sofia Di
Good, Michael R. R.
Ong, Yen Chin
Journal Title
Journal ISSN
Volume Title
Publisher
PHYSICAL REVIEW RESEARCH
Abstract
We show that the notion of “Hookean law” F = 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 conjecture” may 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.
Description
Keywords
Type of access: Open Access, Black hole Hookean law
Citation
di Gennaro, S., Good, M. R. R., & Ong, Y. C. (2022). Black hole Hookean law and thermodynamic fragmentation: Insights from the maximum force conjecture and Ruppeiner geometry. Physical Review Research, 4(2). https://doi.org/10.1103/physrevresearch.4.023031