Abstract
We compute the gravitational entropy of “spherical Rindler space”, a timedependent, 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 = \( \mathcal{A} \) /4G, where \( \mathcal{A} \) 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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ArXiv ePrint: 1305.0856
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Balasubramanian, V., Chowdhury, B.D., Czech, B. et al. The entropy of a hole in spacetime. J. High Energ. Phys. 2013, 220 (2013). https://doi.org/10.1007/JHEP10(2013)220
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DOI: https://doi.org/10.1007/JHEP10(2013)220