Gravitational pressure on event horizons and thermodynamics in the teleparallel framework

Abstract

The concept of gravitational pressure is naturally defined in the context of the teleparallel equivalent of general relativity. Together with the definition of gravitational energy, we investigate the thermodynamics of rotating black holes in the teleparallel framework. We obtain the value of the gravitational pressure over the external event horizon of the Kerr black hole, and write an expression for the thermodynamic relation $TdS=dE+pdV$, where the variations refer to the Penrose process for the Kerr black hole. We employ only the notions of gravitational energy and pressure that arise in teleparallel gravity, and do not make any consideration of the area or the variation of the area of the event horizon. However, our results are qualitatively similar to the standard expression of the literature.

arXiv comment17 pages, 6 figures

References in corpus (5)

• Pressure and volume in the first law of black hole thermodynamics
• Compressibility of rotating black holes
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• The gravitational energy-momentum tensor and the gravitational pressure
• The gravitational energy-momentum flux

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