Gravitational surface Hamiltonian and entropy quantization

Authors

Ashish Bakshi, Indian Statistical Institute, Kolkata
Bibhas Ranjan Majhi, Indian Institute of Technology Guwahati
Saurav Samanta, Narasinha Dutt College, Howrah

Article Type

Research Article

Publication Title

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Abstract

The surface Hamiltonian corresponding to the surface part of a gravitational action has xp structure where p is conjugate momentum of x. Moreover, it leads to TS on the horizon of a black hole. Here T and S are temperature and entropy of the horizon. Imposing the hermiticity condition we quantize this Hamiltonian. This leads to an equidistant spectrum of its eigenvalues. Using this we show that the entropy of the horizon is quantized. This analysis holds for any order of Lanczos–Lovelock gravity. For general relativity, the area spectrum is consistent with Bekenstein's observation. This provides a more robust confirmation of this earlier result as the calculation is based on the direct quantization of the Hamiltonian in the sense of usual quantum mechanics.

First Page

334

Last Page

338

DOI

10.1016/j.physletb.2016.12.036

Publication Date

2-10-2017

Comments

Open Access, Gold, Green

Recommended Citation

Bakshi, Ashish; Majhi, Bibhas Ranjan; and Samanta, Saurav, "Gravitational surface Hamiltonian and entropy quantization" (2017). Journal Articles. 2686.
https://digitalcommons.isical.ac.in/journal-articles/2686