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Full-Text Articles in Physics
Dynamics Of Localized Kaluza-Klein Black Holes In A Collapsing Universe, David Kastor, Lorenzo Sorbo, Jennie Traschen
Dynamics Of Localized Kaluza-Klein Black Holes In A Collapsing Universe, David Kastor, Lorenzo Sorbo, Jennie Traschen
David Kastor
The Clayton Antitrust Act of 1914 prohibits corporate mergers that would result in certain highly undesired end states. We study an exact solution of the Einstein equations describing localized, charged Kaluza-Klein black holes in a collapsing deSitter universe and seek to demonstrate that a similar effect holds, preventing a potentially catastrophic black hole merger. As the collapse proceeds, it is natural to expect that the black hole undergoes a topological transition, wrapping around the shrinking compact dimension to merge with itself and form a black string. However, the putative uniform charged black string end state is singular and such a …
Mass And Free Energy Of Lovelock Black Holes, David Kastor, Sourya Ray, Jennie Traschen
Mass And Free Energy Of Lovelock Black Holes, David Kastor, Sourya Ray, Jennie Traschen
David Kastor
An explicit formula for the ADM mass of an asymptotically AdS black hole in a generic Lovelock gravity theory is presented, identical in form to that in Einstein gravity, but multiplied by a function of the Lovelock coupling constants and the AdS curvature radius. A Gauss' law type formula relates the mass, which is an integral at infinity, to an expression depending instead on the horizon radius. This and other thermodynamic quantities, such as the free energy, are then analyzed in the limits of small and large horizon radius, yielding results that are independent of the detailed choice of Lovelock …
Kerr-Schild Ansatz In Lovelock Gravity, David Kastor, Benjamin Ett
Kerr-Schild Ansatz In Lovelock Gravity, David Kastor, Benjamin Ett
David Kastor
We analyze the field equations of Lovelock gravity for the Kerr-Schild metric ansatz, gab = g ̄ab + λkakb, with background metric g ̄ab, background null vector ka and free parameter λ. Focusing initially on the Gauss-Bonnet case, we find a simple extension of the Einstein gravity results only in theories having a unique constant curvature vacuum. The field equations then reduce to a single equation at order λ^2. More general Gauss-Bonnet theories having two distinct vacua yield a pair of equations, at orders λ and λ^2 that are not obviously compatible. Our results for higher order Lovelock theories are …