Generalized gravitational entropy
From MaRDI portal
Publication:737540
DOI10.1007/JHEP08(2013)090zbMATH Open1342.83185arXiv1304.4926MaRDI QIDQ737540
Author name not available (Why is that?)
Publication date: 12 August 2016
Published in: (Search for Journal in Brave)
Abstract: We consider classical Euclidean gravity solutions with a boundary. The boundary contains a non-contractible circle. These solutions can be interpreted as computing the trace of a density matrix in the full quantum gravity theory, in the classical approximation. When the circle is contractible in the bulk, we argue that the entropy of this density matrix is given by the area of a minimal surface. This is a generalization of the usual black hole entropy formula to euclidean solutions without a Killing vector. A particular example of this set up appears in the computation of the entanglement entropy of a subregion of a field theory with a gravity dual. In this context, the minimal area prescription was proposed by Ryu and Takayanagi. Our arguments explain their conjecture.
Full work available at URL: https://arxiv.org/abs/1304.4926
No records found.
No records found.
This page was built for publication: Generalized gravitational entropy
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q737540)
