1202.4995 (J. W. Maluf et al.)

Gravitational pressure on event horizons and thermodynamics in the
teleparallel framework    [PDF]

J. W. Maluf, S. C. Ulhoa, J. F. da Rocha-Neto

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.

View original: http://arxiv.org/abs/1202.4995