期刊
CLASSICAL AND QUANTUM GRAVITY
卷 39, 期 22, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1361-6382/ac95ef
关键词
black hole entropy; logarithmic corrections to entropy; isothermal-isobaric ensemble; thermodynamics and phase transitions; rotating Kerr black holes in anti de Sitter spacetime; extended thermodynamics of black holes
类别
资金
- Ministry of Education (M.o.E.), Government of India [1200454]
- Science and Engineering Research Board (SERB, DST), Government of India [MTR/2020/000135]
The aim of this work is to compute novel logarithmic corrections to black hole entropy coming from simultaneous fluctuations of energy and thermodynamic volume. By working in the isothermal-isobaric ensemble and applying the formalism to Kerr black holes in AdS, a general form of corrections to black hole entropy is obtained.
For a thermodynamic system, apart from thermal fluctuations, there are also fluctuations in thermodynamic volume when the system is in contact with a volume reservoir. For the case of black holes in anti-de Sitter spacetimes, the effect of thermal fluctuations on the entropy is well studied. The aim of this work is to compute novel logarithmic corrections to black hole entropy coming from simultaneous fluctuations of energy and thermodynamic volume. We work in the isothermal-isobaric ensemble and first obtain a general form of corrections to entropy which are valid for any thermodynamic system. Applying the formalism to Kerr black holes in AdS reveals that the black hole entropy gets corrected as: S = S-0 - k In S-0 + . . .where S-0 given by the Bekenstein-Hawking formula and k = -1. The same leading coefficient is also obtained in the canonical ensemble, i.e. by considering energy fluctuations alone. This coefficient is found to be unaltered in the slowly rotating and high temperature limits.
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