Null surface thermodynamics

H. Adami Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China; Beijing Institute of Mathematical Sciences and Applications (BIMSA), Huairou District, Beijing 101408, People’s Republic of China M. M. Sheikh-Jabbari School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran V. Taghiloo School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran; Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45137-66731, Zanjan, Iran H. Yavartanoo Beijing Institute of Mathematical Sciences and Applications (BIMSA), Huairou District, Beijing 101408, People’s Republic of China

arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2206.74026

Physical Review D, 105, (6), 066004, 2022.3
We establish that boundary degrees of freedom associated with a generic codimension one null surface in D-dimensional pure Einstein gravity naturally admit a thermodynamical description. We expect the null surface thermodynamics to universally follow as a result of the diffeomorphism invariance of the theory, not relying on other special features of the null surface or the gravity theory. Using standard surface charge analysis and covariant phase-space method, we formulate laws of null surface thermodynamics which are local equations over an arbitrary null surface paralleling local versions of the zeroth- and first laws and the Gibbs-Duhem equation. This thermodynamical system is generally an open system and can be closed only when there is no flux of gravitons through the null surface. Our analysis extends the usual black hole thermodynamics to a universal feature of any area element on a generic null surface. We discuss the relevance of our study for the membrane paradigm and black hole microstates.
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@inproceedings{h.2022null,
  title={Null surface thermodynamics},
  author={H. Adami, M. M. Sheikh-Jabbari, V. Taghiloo, and H. Yavartanoo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220622151745843408440},
  booktitle={Physical Review D},
  volume={105},
  number={6},
  pages={066004},
  year={2022},
}
H. Adami, M. M. Sheikh-Jabbari, V. Taghiloo, and H. Yavartanoo. Null surface thermodynamics. 2022. Vol. 105. In Physical Review D. pp.066004. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220622151745843408440.
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