Thermodynamics of Regular Accelerating Black Holes

TL;DR

This paper computes the thermodynamic properties of accelerating charged black holes using covariant phase space formalism, confirming the first law and Smarr formula, and extends insights to rotating black holes.

Contribution

It introduces a method to calculate conserved charges for accelerating black holes, demonstrating regularity and thermodynamic consistency, and extrapolates results to rotating cases.

Findings

Conserved charges for accelerating black holes are computed.

The first law and Smarr formula are verified for these solutions.

Mass formula matches the Christodoulou-Ruffini form.

Abstract

Using the covariant phase space formalism, we compute the conserved charges for a solution, describing an accelerating and electrically charged Reissner-Nordstrom black hole. The metric is regular provided that the acceleration is driven by an external electric field, in spite of the usual string of the standard C-metric. The Smarr formula and the first law of black hole thermodynamics are fulfilled. The resulting mass has the same form of the Christodoulou-Ruffini mass formula. On the basis of these results, we can extrapolate the mass and thermodynamics of the rotating C-metric, which describes a Kerr-Newman-(A)dS black hole accelerated by a pulling string.