Spinning Black Holes and the Membrane Paradigm Perimeter. This pedagogical introduction to the physics of black holes emphasizes the membrane paradigm, which translates the mathematics and physics of black holes. Black Holes: The Membrane Paradigm The Silliman.-Amazon.com The black hole membrane paradigm in fR gravity-IOPscience An Action for Black Hole Membranes A pedagogical introduction to the physics of black holes. The membrane paradigm represents the four-dimemnsional spacetime of the black holes event Quasinormal spectrum and the black hole membrane paradigm. Download Citation on ResearchGate Black Holes: The Membrane Paradigm The physics of black holes is explored in terms of a membrane paradigm which. Black Holes: The Membrane Paradigm-???? We extend this membrane paradigm to black holes in general fR theories of gravity. We derive the stress tensor and various transport coefficients of the fluid Black Holes: The Membrane Paradigm-Google Books The membrane paradigm is the remarkable view that, to an external observer,. iar semi-classical thermodynamic properties of black holes also emerge from.

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The gravitational field in a neighborhood of a particle of small mass µ moving through curved spacetime is naturally decomposed into two parts each of which satisfies the perturbed Einstein equations through O(µ). One part is an inhomogeneous field which looks like the µ/r field tidally distorted by the local Riemann tensor. The other part is a homogeneous field that completely determines the self force of the particle interacting with its own gravitational field, which changes the worldline at O(µ) and includes the effects of radiation reaction. Surprisingly, a local observer measuring the gravitational field in a neighborhood of a freely moving particle sees geodesic motion of the particle in a perturbed vacuum geometry and would be unaware of the existence of radiation at O(µ). In the light of all previous work this is quite an unexpected result.

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A small mass µ in orbit about a much more massive black hole m moves along a world line that deviates from a geodesic of the black hole geometry by O(µ/m). This deviation is said to be caused by the gravitational self-force of the metric perturbation h ab from µ. For circular orbits about a non-rotating black hole we numerically calculate the O(µ/m) effects upon the orbital frequency and upon the rate of passage of proper time on the worldline. These two effects are independent of the choice of gauge for h ab and are observable in principle. For distant orbits, our numerical results agree with a post-Newtonian analysis including terms of order (v/c) 6 .