Thermodynamics of Regular Accelerating Black Holes

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.

17 pages, 2 figures ; v2: extended to fulfil journal requirements, typos corrected

References in corpus (5)

• Surface charge algebra in gauge theories and thermodynamic integrability
• Interpreting the C-metric
• Charging axisymmetric space-times with cosmological constant
• Universal properties of distorted Kerr-Newman black holes
• Accelerating black hole in 2+1 dimensions and 3+1 black (st)ring

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