TY - JOUR
T1 - Boundary causality versus hyperbolicity for spherical black holes in Gauss-Bonnet gravity
AU - Andrade, Tomás
AU - Cáceres, Elena
AU - Keeler, Cynthia
N1 - Funding Information:
EC is supported by Mexico's National Council of Science and Technology (CONACYT) grant CB-2014-01-238734 and by the National Science Foundation Grant PHY-1316033. TA was supported by the European Research Council under the European Union's Seventh Framework Programme (ERC Grant agreement 307955). He also thanks the partial support of the Newton-Picarte Grant 20140053. C K is supported by the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 656900, and also in part by the Danish National Research Foundation project 'New horizons in particle and condensed matter physics from black holes'.
Publisher Copyright:
© 2017 IOP Publishing Ltd.
PY - 2017/6/5
Y1 - 2017/6/5
N2 - 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.
AB - 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.
KW - Gauss-Bonnet gravity
KW - causality
KW - higher curvature gravity
KW - hyperbolicity
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U2 - 10.1088/1361-6382/aa7101
DO - 10.1088/1361-6382/aa7101
M3 - Article
AN - SCOPUS:85021053148
SN - 0264-9381
VL - 34
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 13
M1 - 135003
ER -