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A Gravitational Stress Tensor for Asymptotically AdS Spaces from Holography

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dc.contributor.advisor Krishnan, Chethan en_US
dc.contributor.author HATHA, FEROZ en_US
dc.date.accessioned 2020-06-19T08:22:56Z
dc.date.available 2020-06-19T08:22:56Z
dc.date.issued 2020-04 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4810
dc.description.abstract This thesis presents a study of the quasilocal stress tensor proposed by Brown and York in 1993 from the perspective of the AdS/CFT correspondence which was carried out by Kraus and Balasubramanian in 1999. The thesis begins with a quick review of the essential ideas of AdS/CFT. The subsequent chapter explains the variational principle for the gravitational action and explains the need for introducing the Gibbons-Hawking-York boundary term and the nondynamical counterterm in the action. The chapter following this elucidates the challenges involved in describing a local stress-energy tensor for the metric of a spacetime and describes the earlier mentioned proposal by Brown and York. Later, we work out in detail and confirm the expressions for quasilocal stress tensor for asymptotically AdS spacetimes in various dimensions and also show that these lead to the right masses and momenta for various spacetimes as shown by Kraus and Balasubramanian. The interpretation of the quasilocal stress tensor from the CFT side is also discussed. We verify the result obtained by Brown and Henneaux and also make a key observation that for metrics that satisfy the fall-offs suggested by them, one may be able to drop the GHY term in the action thus leading to a modified stress tensor that could potentially give the same (correct) results for mass and momenta of various spacetimes. en_US
dc.description.sponsorship INSPIRE en_US
dc.language.iso en en_US
dc.subject AdS/CFT correspondence en_US
dc.subject Conformal field theory en_US
dc.subject Holography en_US
dc.subject Gravity en_US
dc.subject Spacetime en_US
dc.subject Quasilocal stress tensor en_US
dc.subject Brown and York en_US
dc.subject Extrinsic curvature en_US
dc.subject Counterterm en_US
dc.subject Gibbons-Hawking-York term en_US
dc.subject Boundary en_US
dc.subject Einstein en_US
dc.subject Energy en_US
dc.subject Momentum en_US
dc.subject Angular momentum en_US
dc.subject Mass en_US
dc.subject 2020 en_US
dc.title A Gravitational Stress Tensor for Asymptotically AdS Spaces from Holography en_US
dc.type Thesis en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Physics en_US
dc.contributor.registration 20151090 en_US


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  • MS THESES [1705]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

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