Energy and entropy radiated by a black hole embedded in the de-Sitter braneworld

TL;DR

This paper analyzes the Hawking radiation and entropy emission of higher-dimensional Schwarzschild black holes in de-Sitter space, revealing insights into space-time dimensions, curvature, and supporting Bekenstein's conjecture.

Contribution

It provides comprehensive calculations of greybody factors, energy emission rates, and entropy loss for various particles in a higher-dimensional de-Sitter black hole.

Findings

Energy emission rates vary with particle type and energy

Entropy-to-energy ratio approaches unity, supporting Bekenstein's conjecture

Results reveal the influence of space-time dimensions and curvature

Abstract

We study the Hawking radiation of (4+n)-dimensional Schwarzschild black hole imbedded in the space-time with positive cosmological constant. The greybody and energy emission rates of scalars, fermions, bosons, and gravitons are calculated in the full range of energy. The valuable information on the dimensions and curvature of space-time is revealed. Furthermore, we investigate the entropy radiated and lost by black hole. We find their ratio near unit in favor of the Bekenstein's conjecture.