Physics

Dr. Subhajit Mazumdar
TIFR, Mumbai

Abstract :
It has recently been demonstrated that black hole dynamics can be reformulated as the equations of motion of a codimension one membrane (roughly the black hole event horizon). These membrane equations have previously been determined at leading order in the large D expansion. In this talk we implement this `duality' to next order in 1/D and thereby determine the leading corrections to the membrane equations of motion and the metric . Our results obey several consistency checks; in particular upon linearizing our equations about a spherical membrane we reproduce the known quasinormal mode frequencies of large D Schwarschild black holes, including first subleading corrections in 1/D. Our membrane equations ,which admit a static solution in the sphere times black brane manifold, captures the Gregory Laflamme instability with small fluctuations in scaled amplitude and length scale . This result thus identify the ‘black brane’ equations as a special limit of the membrane equations.