The Black Hole Membrane Paradigm in f(R) Gravity

Abstract

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.

References in corpus (3)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Junction Conditions in f(R) Theories of Gravity
• The ratio of shear viscosity to entropy density in generalized theories of gravity

Cited by in corpus (9)

• Ringdown of Charged Compact Objects using Membrane Paradigm
• Membrane paradigm for Einstein-Gauss-Bonnet gravity
• Fluid-gravity correspondence in the scalar-tensor theory of gravity: (in)equivalence of Einstein and Jordan frames
• Entropy Balance Equation of Spacetime Thermodynamics in f(R) Gravity
• Rotating Killing horizons in generic $F(R)$ gravity theories
• Transport in a gravity dual with a varying gravitational coupling constant
• Cosmological horizons as new examples of membrane paradigm
• Membrane paradigm of black holes in Chern-Simons modified gravity
• Black hole mass formula in the membrane paradigm