4.4 Article

The second law of black hole mechanics in effective field theory

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP08(2022)258

关键词

Black Holes; Classical Theories of Gravity; Effective Field Theories; Gauge Symmetry

资金

  1. Trinity College, Cambridge U
  2. Max-Planck Society [Bez. M.FE.A.MATN0003]
  3. European Union's H2020 ERC Consolidator Grant GRavity from Astrophysical to Microscopic Scales [GRAMS815673]
  4. EU Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Grant [101007855]
  5. STFC [ST/T000694/1]

向作者/读者索取更多资源

This article investigates the second law of black hole mechanics in gravitational theories with higher derivative terms. The author describes a method for defining an entropy that satisfies the second law to linear and quadratic orders in perturbations, treating the higher derivative terms as effective field theory. Additionally, the author addresses some outstanding issues with the method, such as gauge invariance and its relation to the Iyer-Wald entropy.
We investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations around a stationary black hole. We show that this can be extended to define an entropy that satisfies the second law to quadratic order in perturbations, provided that one treats the higher derivative terms in the sense of effective field theory. We also address some outstanding issues with Wall's method, in particular its gauge invariance and its relation to the Iyer-Wald entropy.

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