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arXiv · 1305.0856

The entropy of a hole in spacetime

Vijay Balasubramanian·Bartlomiej Czech·Borun D. Chowdhury·Jan de Boer
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Abstract

We compute the gravitational entropy of 'spherical Rindler space', a time-dependent, spherically symmetric generalization of ordinary Rindler space, defined with reference to a family of observers traveling along non-parallel, accelerated trajectories. All these observers are causally disconnected from a spherical region H (a 'hole') located at the origin of Minkowski space. The entropy evaluates to S = A/4G, where A is the area of the spherical acceleration horizon, which coincides with the boundary of H. We propose that S is the entropy of entanglement between quantum gravitational degrees of freedom supporting the interior and the exterior of the sphere H.

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Vijay Balasubramanian, Bartlomiej Czech, Borun D. Chowdhury, Jan de Boer. 2013-11-05. The entropy of a hole in spacetime. https://doi.org/10.1007/jhep10(2013)220

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