Brustein, R and Medved, A.J.M
(2012)
*Gravitational entropy and thermodynamics away from the horizon.*
Physics Letters B, 715
(1-3).
pp. 267-270.

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## Abstract

We define, by an integral of geometric quantities over a spherical shell of arbitrary radius, an invariant gravitational entropy. This definition relies on defining a gravitational energy and pressure, and it reduces at the horizon of both black branes and black holes to Wald's Noether charge entropy. We support the thermodynamic interpretation of the proposed entropy by showing that, for some cases, the field theory duals of the entropy, energy and pressure are the same as the corresponding quantities in the field theory. In this context, the Einstein equations are equivalent to the field theory thermodynamic relation TdS=dE+PdV supplemented by an equation of state.

Item Type: | Article |
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Uncontrolled Keywords: | Black-hole entropy; Field-theories; String theory; Gravity; tensor; High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc) |

Subjects: | Q Science > QC Physics |

Divisions: | Faculty > Faculty of Science > Physics & Electronics |

ID Code: | 3777 |

Deposited By: | Mrs Eileen Shepherd |

Deposited On: | 23 Oct 2012 12:58 |

Last Modified: | 23 Oct 2012 12:58 |

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