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arXiv · 1209.2842

A Soliton and a Black Hole are in Gauss-Bonnet gravity. Who wins?

Anson W. C. Wong·Robert B. Mann
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Abstract

We study here the phase-transitional evolution between the Eguchi-Hanson soliton, the orbifolded Schwarzschild Anti de-Sitter black hole, and orbifolded thermal Anti de-Sitter space in Gauss-Bonnet gravity for a small Gauss-Bonnet coefficient $α$. Novel phase structure is uncovered for both negative and positive $α$ with spacetime configurations that are stable in Gauss-Bonnet gravity without being so in Einsteinian gravity. The evolutionary tracks taken towards such stable configurations are guided by quantum tunnelling and can be represented with a phase diagram constructed by comparing the Euclidean actions of each of our states as a function of $α$ and the black hole radius $r_b$. According to the AdS/CFT correspondence dictionary, it is expected that some generalized version of closed-string tachyon condensation will exhibit the phase behaviour found here.

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Anson W. C. Wong, Robert B. Mann. 2012-09-13. A Soliton and a Black Hole are in Gauss-Bonnet gravity. Who wins?. https://doi.org/10.1103/physrevd.86.124002

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