A New Boundary Counterterm for Asymptotically AdS Spacetimes

dc.creatorMcNees, Robert
dc.date2005-12-22
dc.date.accessioned2026-07-07T06:54:32Z
dc.date.available2026-07-07T06:54:32Z
dc.descriptionWe present a modified version of the boundary counterterm method for removing divergences from the action of an asymptotically $AdS$ spacetime. The standard approach renders the action finite but leaves diffeomorphism invariance partially broken if the dimension of the spacetime is odd. We show that this symmetry is restored by a new boundary counterterm, needed to cancel a divergence that appears in dimensional regularization. The result is a finite, diffeomorphism invariant action appropriate for gravitational physics. As an example we calculate the action for the Kerr-$AdS_5$ black hole. Unlike the standard boundary counterterm results, our action yields conserved charges that are consistent with the first law of black hole thermodynamics.
dc.description42+1 Pages
dc.identifierhttps://arxiv.org/abs/hep-th/0512297
dc.identifierhttp://arxiv.org/abs/hep-th/0512297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105972
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA New Boundary Counterterm for Asymptotically AdS Spacetimes
dc.typetext

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