Entropy function from the Einstein boundary term
High Energy Physics - Theory
2021-08-20 v2 General Relativity and Quantum Cosmology
Abstract
We show using the entropy function formalism developed by Sen \cite{Sen:2005wa} that the boundary term which arises from the Einstein-Hilbert action is sufficient to yield the Bekenstein-Hawking entropy of a static extremal black hole which is asymptotically flat. However, for asymptotically black holes, the bulk term also plays an important role due to the presence of the cosmological constant. Further, we show that for extremal rotating black holes, both the boundary and the bulk terms contribute non-vanishing pieces to the entropy.
Cite
@article{arxiv.2103.01483,
title = {Entropy function from the Einstein boundary term},
author = {Anirban Roy Chowdhury and Ashis Saha and Sunandan Gangopadhyay},
journal= {arXiv preprint arXiv:2103.01483},
year = {2021}
}
Comments
v1: 9 pages LaTex, v2: 10 pages LaTex (to appear in Europhysics Letters)