Kerr and Kerr-AdS black shells and black hole entropy

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dc.contributor.authorWang, Xun
dc.contributor.supervisorIsrael, Werner
dc.date.accessioned2007-10-19T19:25:50Z
dc.date.available2007-10-19T19:25:50Z
dc.date.copyright2007en_US
dc.date.issued2007-10-19T19:25:50Z
dc.degree.departmentDepartment of Physics and Astronomy
dc.degree.levelMaster of Science M.Sc.en_US
dc.description.abstractAs an operational approach to the Bekenstein-Hawking formula S_{BH}=A/4l_{Pl}^{2} for the black hole entropy, we consider the reversible contraction of a spinning thin shell to its event horizon and find that its thermodynamic entropy approaches $S_{\mathrm{BH}}$. In this sense the shell, called a "black shell", imitates and is externally indistinguishable from a black hole. Our work is a generalization of the previous result [10] for the spherical case. We assume the exterior space-time of the shell is given by the Kerr metric and match it to two different interior metrics, a vacuum one and a non-vacuum one. We find the vacuum interior embedding breaks down for fast spinning shells. The mechanism is not clear and worth further exploring. We also examine the case of a Kerr-AdS exterior, without trying to find a detailed interior solution. We expect the same behavior of the shell when the horizon limit is approached.en_US
dc.identifier.urihttp://hdl.handle.net/1828/241
dc.languageEnglisheng
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.subjectgeneral relativityen_US
dc.subjectthin shellen_US
dc.subjectblack hole thermodynamicsen_US
dc.subjectBekenstein-Hawking entropyen_US
dc.subjectIsrael's junction conditionsen_US
dc.subjectZAMen_US
dc.subjectKerren_US
dc.subjectKerr-AdSen_US
dc.subjectAdS/CFTen_US
dc.subject.lcshUVic Subject Index::Sciences and Engineering::Physicsen_US
dc.titleKerr and Kerr-AdS black shells and black hole entropyen_US
dc.typeThesisen_US

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