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Holographic GB gravity in arbitrary dimensions

2009/11/30 by Alex Buchel, Jorge Escobedo, Robert C. Myers +3 · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy stress tensor #Causality (physics) #Classical mechanics #Consistency (knowledge bases) #Cosmology and Gravitation Theories #Geometry #Gravitation #Graviton #Holography #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Tensor (intrinsic definition) #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep03(2010)111

published as JHEP 1003:111,2010 · 48 pages, 9 figures. v2: New discussion on free fields in subsection 3.3 and new appendix B on conformal tensor fields. Added comments on the relation between the central charge appearing in the two-point function and the "central charge" characterizing the entropy density in the discussion. References added

arxiv created 2010/01/02 · openalex publication_date 2010/03/01 · arxiv updated 2010/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general D ≥ 5 dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings arising in correlators of the stress tensor of the dual CFT. This allows us to examine constraints on the gravitational couplings by demanding consistency of the CFT. In particular, one can demand positive energy fluxes in scattering processes or the causal propagation of fluctuations. We also examine the holographic hydrodynamics, commenting on the shear viscosity as well as the relaxation time. The latter allows us to consider causality constraints arising from the second-order truncated theory of hydrodynamics.

Citations

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