Physical Process Version of the First Law of Thermodynamics for Black Holes in Higher Dimensional Gravity

TL;DR

This paper derives the physical process version of the first law of black hole thermodynamics for charged rotating black holes in higher-dimensional gravity, expressing variations in mass, angular momentum, and energy through perturbed matter fields.

Contribution

It provides new formulae for first order variations of black hole parameters in n-dimensional Einstein gauge field theory, linking them to matter perturbations.

Findings

Derived formulae for variations of mass, angular momentum, and energy.

Expressed variations in terms of perturbed matter energy-momentum tensor.

Extended the first law to higher-dimensional charged rotating black holes.

Abstract

The problem of physical process version of the first law of black hole thermodynamics for charged rotating black hole in n-dimensional gravity is elaborated. The formulae for the first order variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory are derived. These variations are expressed by means of the perturbed matter energy momentum tensor and matter current density.