Inhomogeneous Jacobi equation for minimal surfaces and perturbative change in holographic entanglement entropy

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dc.contributor.author Ghosh, Avirup
dc.contributor.author Mishra, Rohit
dc.date.accessioned 2018-06-07T12:33:40Z
dc.date.available 2018-06-07T12:33:40Z
dc.date.issued 2018-04
dc.identifier.citation Ghosh, Avirup and Mishra, Rohit, "Inhomogeneous Jacobi equation for minimal surfaces and perturbative change in holographic entanglement entropy", Physical Review D, DOI: 10.1103/PhysRevD.97.086012, vol. 97, no. 8, Apr. 2018. en_US
dc.identifier.isbn 2470-0029
dc.identifier.issn 2470-0010
dc.identifier.uri http://dx.doi.org/10.1103/PhysRevD.97.086012
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/3703
dc.description.abstract The change in holographic entanglement entropy (HEE) for small fluctuations about pure anti-de Sitter (AdS) is obtained by a perturbative expansion of the area functional in terms of the change in the bulk metric and the embedded extremal surface. However it is known that change in the embedding appears at second order or higher. It was shown that these changes in the embedding can be calculated in the 2+1 dimensional case by solving a "generalized geodesic deviation equation." We generalize this result to arbitrary dimensions by deriving an inhomogeneous form of the Jacobi equation for minimal surfaces. The solutions of this equation map a minimal surface in a given space time to a minimal surface in a space time which is a perturbation over the initial space time. Using this we perturbatively calculate the changes in HEE up to second order for boosted black brane like perturbations over AdS4.
dc.description.statementofresponsibility by Avirup Ghosh and Rohit Mishra
dc.format.extent vol. 97, no. 8
dc.language.iso en en_US
dc.publisher American Physical Society en_US
dc.title Inhomogeneous Jacobi equation for minimal surfaces and perturbative change in holographic entanglement entropy en_US
dc.type Article en_US
dc.relation.journal Physical Review D


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