Entropy function from the gravitational surface action for an extremal near horizon black hole

The European Physical Journal C

Bibhas Ranjan Majhi¹ 

[1] Department of Physics, Indian Institute of Technology, 781039, Guwahati, Assam, India;

关键词: Entropy;    Black Hole;    Black Hole Entropy;    Entropy Function;    Horizon Black Hole;   

DOI  :  10.1140/epjc/s10052-015-3744-7

来源: Springer

【 摘 要 】

It is often argued that all the information of a gravitational theory is encoded in the surface term of the action; which means one can find several physical quantities just from the surface term without incorporating the bulk part of the action. This has been observed in various instances; e.g. the derivation of the Einstein’s equations, the surface term calculated on the horizon leads to the entropy, etc. Here I investigate the role of it in the context of the entropy function and the entropy of extremal near horizon black holes. Considering only the Gibbons–Hawking–York (GHY) surface term to define an entropy function for the extremal near horizon black hole solution, it is observed that the extremization of such a function leads to the exact value of the horizon entropy. This analysis again supports the previous claim that the gravitational action is of a “holographic” nature – the surface term contains information of the bulk.

【 授权许可】

CC BY