Black Hole Interior Mass Formula

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.

Accepted for publication in EPJC, May-2014

References in corpus (7)

• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Greybody Factors and Charges in Kerr/CFT
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Statistical Origin of Gravity
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• Universal properties of distorted Kerr-Newman black holes
• Quantization of area for event and Cauchy horizons of the Kerr-Newman black hole

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• Thermodynamic Properties of Kehagias-Sfetsos Black Hole \& KS/CFT Correspondence
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