Journal
PHYSICAL REVIEW D
Volume 103, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.103.104001
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Funding
- CONACyT of Mexico [128761, 278847]
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Using the concept of thermodynamic length, the first law of thermodynamics for two equal mass Kerr-Newman black holes separated by a massless strut was consistently derived. The expression of the free energy for two generic Kerr-Newman black holes was also proposed in this study.
Using the notion of thermodynamic length, the first law of thermodynamics is consistently derived for two binary configurations of equal Kerr-Newman black holes separated by a massless strut. As in the electrostatic systems of two Reissner-Nordstrom black holes and stationary vacuum systems of two Kerr black holes considered earlier, the thermodynamic length l turns out to be defined by the same simple formula l = L exp (gamma(0)), L being the coordinate length of the strut and gamma(0) the value of the metric function gamma on the strut, which permits the elaboration of l in a concise analytic form. The expression of the free energy in the case of two generic Kerr-Newman black holes is also proposed.
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