Boundary causality versus hyperbolicity for spherical black holes in Gauss–Bonnet gravity
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Publication:5283558
DOI10.1088/1361-6382/AA7101zbMATH Open1367.83070arXiv1610.06078OpenAlexW3098737115MaRDI QIDQ5283558
Author name not available (Why is that?)
Publication date: 24 July 2017
Published in: (Search for Journal in Brave)
Abstract: We explore the constraints boundary causality places on the allowable Gauss-Bonnet gravitational couplings in asymptotically AdS spaces, specifically considering spherical black hole solutions. We additionally consider the hyperbolicity properties of these solutions, positing that hyperbolicity-violating solutions are sick solutions whose causality properties provide no information about the theory they reside in. For both signs of the Gauss-Bonnet coupling, spherical black holes violate boundary causality at smaller absolute values of the coupling than planar black holes do. For negative coupling, as we tune the Gauss-Bonnet coupling away from zero, both spherical and planar black holes violate hyperbolicity before they violate boundary causality. For positive coupling, the only hyperbolicity-respecting spherical black holes which violate boundary causality do not do so appreciably far from the planar bound. Consequently, eliminating hyperbolicity-violating solutions means the bound on Gauss-Bonnet couplings from the boundary causality of spherical black holes is no tighter than that from planar black holes.
Full work available at URL: https://arxiv.org/abs/1610.06078
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