Generalized Smarr formula as a local identity for arbitrary dimensional black holes

Abstract

We discuss a method based on Killing symmetries and Komar conserved charges to generalize Smarr mass formula for arbitrary dimensional charged, rotating spacetime. We derive a local identity defined at the event horizon of the rotating black hole in Einstein-Maxwell gravity which reproduces the generalized Smarr formula as a by-product. The advantages of this new identity are the following: (i) unlike Smarr formula, which is non-local, this identity is purely local and hence a switchover between horizon and infinity is unnecessary and (ii) the new identity could be mapped with the recent investigations on emergent gravity.

5 pages, no figures, prepared for the proceedings of COSGRAV-12, Kolkata 7-11 February 2012, to appear in Journal of Physics: Conference Series (JPCS)