Emergent gravity: From statistical point of view

Abstract

Near the event horizon of a black hole, the effective theory is two dimensional conformal theory. Here we show that the holographic modes characterising this underlying conformal symmetry and the basic definition of entropy $S$ in statistical mechanics lead the equipartition law of energy. We also show that $S$ is proportional to the gravity action which suggests the emergent nature of gravity. This is further bolstered by expressing the generalised Smarr formula as a thermodynamic relation, $S = E/ 2T$, where $T$ is the Hawking temperature and $E$ is shown to be the Komar energy.

4 pages, no figures, Talk presented at international conference: COSGRAV12 (Indian Statistical Institute, Kolkata, India), Mainly based on arXiv:1003.2312, to appear in Journal of Physics Conference Series