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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
Abstract:
We study the possible existence of gravitational phase transitions from AdS
to dS geometries in the context of higher-curvature gravities. We use
Lanczos-Gauss-Bonnet (LGB) theory with a positive cosmological constant as a
toy model. This theory has two maximally symmetric vacua with positive (dS) and
negative (AdS) constant curvature. We show that a phase transition from the AdS
vacuum to a dS black hole geometry takes place when the temperature reaches a
critical value. The transition is produced by nucleation of bubbles of the new
phase that expand afterwards. We claim that this phenomenon is not particular
to the model under study, and shall also be part of generic gravitational
theories with higher-curvature terms.