Séminaire de Physique ThéoriqueMembrane Paradigm in f(R) gravity
Sudipta Sarkar (Univ. of Maryland)
Thursday 25 November 2010 14:00 - Tours - Salle 1180 (Bât E2)
The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying pre-relativistic equations. We extend the existing membrane formalism for General relativity to black holes in any general f(R)-theory of gravity and derive the stress tensor and various transport coefficients of the membrane fluid. The membrane turns out to behave like a non-Newtonian fluid except for the case of General Relativity. We also derive dynamical equations describing the fluid membrane. This result establishes the general analogy of the properties of black hole horizon with fluid mechanics beyond General Relativity to any general f(R) gravity theory.