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Stresses and strains in the first law for Kaluza-Klein black holes

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dc.contributor.authorKastor, David
dc.contributor.authorTraschen, Jennie
dc.contributor.departmentUniversity of Massachusetts - Amherst
dc.contributor.departmentUniversity of Massachusetts - Amherst
dc.date2023-09-23T03:17:43.000
dc.date.accessioned2024-04-26T20:03:22Z
dc.date.available2024-04-26T20:03:22Z
dc.date.issued2006-01-01
dc.descriptionThis is the pre-published version harvested from ArXiv. The published version is located at http://iopscience.iop.org/1126-6708/2006/09/022/
dc.description.abstractWe consider how variations in the moduli of the compactification manifold contribute `pdV' type work terms to the first law for Kaluza-Klein black holes. We give a new proof for the S1 case, based on Hamiltonian methods, which demonstrates that the result holds for arbitrary perturbations around a static black hole background. We further apply these methods to derive the first law for black holes in 2-torus compactifications, where there are three real moduli. We find that the result can be simply stated in terms of constructs familiar from the physics of elastic materials, the stress and strain tensors. The strain tensor encodes the change in size and shape of the 2-torus as the moduli are varied. The role of the stress tensor is played by a tension tensor, which generalizes the spacetime tension that enters the first law in the S1 case.
dc.identifier.urihttps://hdl.handle.net/20.500.14394/40616
dc.relation.ispartofJournal of High Energy Physics
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=2233&context=physics_faculty_pubs&unstamped=1
dc.source.issueJHEP09(2006)
dc.source.issue2006
dc.source.statuspublished
dc.subjectBlack Holes
dc.subjectp-branes
dc.subjectPhysical Sciences and Mathematics
dc.subjectPhysics
dc.titleStresses and strains in the first law for Kaluza-Klein black holes
dc.typearticle
dc.typearticle
digcom.contributor.authorisAuthorOfPublication|email:kastor@physics.umass.edu|institution:University of Massachusetts - Amherst|Kastor, David
digcom.contributor.authorisAuthorOfPublication|email:traschen@physics.umass.edu|institution:University of Massachusetts - Amherst|Traschen, Jennie
digcom.identifierphysics_faculty_pubs/1221
digcom.identifier.contextkey1806232
digcom.identifier.submissionpathphysics_faculty_pubs/1221
dspace.entity.typePublication
relation.isAuthorOfPublication5c9aab1a-c428-497d-9c0b-e3664e428f2d
relation.isAuthorOfPublication08ab5f71-00e7-4491-8a3b-c2e4966a4cf0
relation.isAuthorOfPublication.latestForDiscovery5c9aab1a-c428-497d-9c0b-e3664e428f2d
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