English

Black Hole Interior Mass Formula

General Relativity and Quantum Cosmology 2014-05-07 v2

Abstract

We argue by explicit computations that, although the area product, horizon radii product, entropy product and \emph {irreducible mass product} of the event horizon and Cauchy horizon are universal, the \emph{surface gravity product}, \emph{surface temperature product} and \emph{Komar energy product} of the said horizons do not seem to be universal for Kerr-Newman (KN) black hole space-time. We show the black hole mass formula on the \emph{Cauchy horizon} following the seminal work by Smarr\cite{smarr} for the outer horizon. We also prescribed the \emph{four} laws of black hole mechanics for the \emph{inner horizon}. New definition of the extremal limit of a black hole is discussed.

Keywords

Cite

@article{arxiv.1310.7126,
  title  = {Black Hole Interior Mass Formula},
  author = {Parthapratim Pradhan},
  journal= {arXiv preprint arXiv:1310.7126},
  year   = {2014}
}

Comments

Accepted for publication in EPJC, May-2014

R2 v1 2026-06-22T01:54:41.336Z