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# Kerr and Kerr-AdS black shells and black hole entropy

 dc.contributor.author Wang, Xun dc.date.accessioned 2007-10-19T19:25:50Z dc.date.available 2007-10-19T19:25:50Z dc.date.copyright 2007 en_US dc.date.issued 2007-10-19T19:25:50Z dc.identifier.uri http://hdl.handle.net/1828/241 dc.description.abstract As 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.language English eng dc.language.iso en en_US dc.rights Available to the World Wide Web en_US dc.subject general relativity en_US dc.subject thin shell en_US dc.subject black hole thermodynamics en_US dc.subject Bekenstein-Hawking entropy en_US dc.subject Israel's junction conditions en_US dc.subject ZAM en_US dc.subject Kerr en_US dc.subject Kerr-AdS en_US dc.subject AdS/CFT en_US dc.subject.lcsh UVic Subject Index::Sciences and Engineering::Physics en_US dc.title Kerr and Kerr-AdS black shells and black hole entropy en_US dc.type Thesis en_US dc.contributor.supervisor Israel, Werner dc.degree.department Dept. of Physics and Astronomy en_US dc.degree.level Master of Science M.Sc. en_US
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