The second law of blackhole dynamics

TL;DR

This paper reformulates and rigorously proves a restricted version of the second law of blackhole dynamics, focusing on blackholes emitting Hawking radiation, and discusses its physical implications.

Contribution

It provides a new, rigorous formulation and proof of the restricted second law of blackhole dynamics related to Hawking radiation.

Findings

Restates and proves the restricted second law of blackhole dynamics

Discusses physical implications of the law

Reformulates blackhole thermodynamics in a didactic manner

Abstract

In this paper, the non-generalized or restricted second law blackhole dynamics as given by Bekenstein in the beginning is restated, with a rigid proof, in a different form akin to the statement of the second law of thermodynamics given by Clausius. The various physical possibilities and implications of this statement are discussed therein. This paper is a mere venture into the restricted second law of blackhole dynamics pertaining to blackholes emitting Hawking radiation. The paper thus considers a didactically interesting reformulation of the second law of blackhole thermodynamics after some revisions.