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The Final State of Black Strings and p-Branes, and the Gregory-Laflamme Instability

Mu-In Park
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Abstract

It is shown that the usual entropy argument for the Gregory-Laflamme (GL) instability for $some$ appropriate black strings and $p$-branes gives surprising agreement up to a few percent. This may provide a strong support to the GL's horizon fragmentation, which would produce the array of higher-dimensional Schwarzschild-type's black holes finally. On the other hand, another estimator for the size of the black hole end-state relative to the compact dimension indicates a second order (i.e., smooth) phase transition for some $other$ appropriate compactifications and total dimension of spacetime wherein the entropy argument is not appropriate. In this case, Horowitz-Maeda-type's non-uniform black strings or $p$-branes can be the final state of the GL instability.

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Mu-In Park. 2005-04-16. The Final State of Black Strings and p-Branes, and the Gregory-Laflamme Instability. https://doi.org/10.1088/0264-9381%2F22%2F13%2F006

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