The Black Hole Membrane Paradigm in f(R) Gravity

Details The Black Hole Membrane Paradigm in f(R) Gravity The Black Hole Membrane Paradigm in f(R) Gravity

2010-12-29

arxiv.org/abs/1012.6040v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

To an outside observer, a black hole's event horizon appears to behave exactly like a dynamical fluid membrane. We extend this membrane paradigm to black holes in general $f(R)$ theories of gravity. We derive the stress tensor and various transport coefficients of the fluid and find that the membrane behaves as a non-Newtonian fluid except for the special case of Einstein gravity. Using Euclidean methods, we study the thermodynamics of the membrane. We speculate on what theories of gravity admit horizons with fluid properties.

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