Quasi-topological Gravities on General Spherically Symmetric Metric
arXiv:2301.00235 · doi:10.1007/JHEP03(2023)055
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 . 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.
arXiv comment10 + 11 pages and appendices, one supplementary Wolfram Language file; v2: Revised, accepted by JHEP
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