Quasi-topological Gravities on General Spherically Symmetric Metric

Abstract

In this work we study a more restricted class of quasi-topological gravity theories where the higher curvature terms have no contribution to the equation of motion on general static spherically symmetric metric where $g_{tt}{g}_{rr}\ne \mathrm{constant}$. We construct such theories up to quintic order in Riemann tensor and observe an important property of these theories: the higher order term in the Lagrangian vanishes identically when evaluated on the most general non-stationary spherically symmetric metric ansatz. This not only signals the higher terms could only have non-trivial effects when considering perturbations, but also makes the theories quasi-topological on a much wider range of metrics. As an example of the holographic effects of such theories, we consider a general Einstein-scalar theory and calculate it's holographic shear viscosity.

10 + 11 pages and appendices, one supplementary Wolfram Language file; v2: Revised, accepted by JHEP

References in corpus (9)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Building an AdS/CFT superconductor
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Einsteinian cubic gravity
• Four-dimensional black holes in Einsteinian cubic gravity
• Aspects of general higher-order gravities
• Generalized quasi-topological gravities: the whole shebang
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Higher-derivative holography with a chemical potential

Cited by in corpus (4)

• The extremal Kerr entropy in higher-derivative gravities
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology
• Neutron stars more compact than black holes in quasi-topological gravity: Equilibrium configurations and radial stability
• Neutron stars more compact than black holes as a probe of strong-field gravity