The entropy of a hole in spacetime

• Published in: The journal of high energy physics Vol. 2013; no. 10; pp. 1 - 12
• Main Authors: Balasubramanian, Vijay, Chowdhury, Borun D., Czech, Bartlomiej, de Boer, Jan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-10-2013; Springer Nature B.V
• Subjects: Boundaries; Classical and Quantum Gravitation; Degrees of freedom; Elementary Particles; Entropy; Exteriors; Gravitation; High energy physics; Mathematical analysis; Observers; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; AdS-CFT Correspondence; Models of Quantum Gravity; Space-Time Symmetries
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2013)220

A
bstract
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
=
/
4
G
, where
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
.