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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Entropy Bounds for Rotating AdS Black Holes
Masaya Amo1,2, Antonia M Frassino2, Robie A Hennigar2
1Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan.
Physical Review Letters
|January 5, 2024
Summary
We introduce new thermodynamic inequalities for anti-de Sitter (AdS) black holes, refining existing isoperimetric inequalities. These findings extend to black holes with non-spherical topologies, like AdS black rings.
Area of Science:
- Theoretical physics
- General relativity
- Black hole thermodynamics
Background:
- Black hole thermodynamics relates gravitational and thermodynamic properties.
- Isoperimetric inequalities provide geometric constraints on thermodynamic quantities.
- Asymptotically anti-de Sitter (AdS) spacetimes are crucial in theoretical physics, particularly in the AdS/CFT correspondence.
Purpose of the Study:
- To propose novel thermodynamic inequalities for stationary asymptotically anti-de Sitter (AdS) black holes.
- To incorporate the thermodynamic volume into these inequalities.
- To refine the reverse isoperimetric inequality in the context of AdS black holes.
Main Methods:
- Derivation of new thermodynamic inequalities.
- Application and testing of these inequalities on various analytical black hole solutions.
- Analysis of black holes with spherical and non-spherical horizon topologies.
Main Results:
- Proposed thermodynamic inequalities hold for stationary asymptotically AdS black holes.
- The inequalities incorporate thermodynamic volume and refine the reverse isoperimetric inequality.
- Evidence suggests validity for black holes with nonspherical horizon topology, including AdS black rings.
Conclusions:
- The novel thermodynamic inequalities are a significant advancement in understanding black hole thermodynamics.
- These inequalities offer a refined geometric perspective on black hole properties.
- The findings broaden the applicability of thermodynamic inequalities to diverse black hole solutions.
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