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Stresses And Strains In The First Law For Kaluza-Klein Black Holes, David Kastor, Jennie Traschen
Stresses And Strains In The First Law For Kaluza-Klein Black Holes, David Kastor, Jennie Traschen
Physics Department Faculty Publication Series
We 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 …
On Black Strings & Branes In Lovelock Gravity, David Kastor, Robert Mann
On Black Strings & Branes In Lovelock Gravity, David Kastor, Robert Mann
Physics Department Faculty Publication Series
It is well known that black strings and branes may be constructed in pure Einstein gravity simply by adding flat directions to a vacuum black hole solution. A similar construction holds in the presence of a cosmological constant. While these constructions fail in general Lovelock theories, we show that they carry over straightforwardly within a class of Lovelock gravity theories that have (locally) unique constant curvature vacua.