Negative specific heat of black-holes from Fluid-Gravity Correspondence

Abstract

Black-holes in asymptotically flat space-times have negative specific heat --- they get hotter as they loose energy. A clear statistical mechanical understanding of this has remained a challenge. In this work, we address this issue using fluid-gravity correspondence which aims to associate fluid degrees of freedom to the horizon. Using linear response theory and the teleological nature of event horizon, we show explicitly that the fluctuations of the horizon-fluid lead to negative specific heat for Schwarzschild black Hole. We also point out how the specific heat can be positive for Kerr-Newman or AdS black holes. Our approach constitutes an important advance as it allows us to apply canonical ensemble approach to study thermodynamics of asymptotically flat black-hole space-times.

11 pages, 1 Figure, Accepted for publication in Class. Quant. Grav

References in corpus (6)

• Nonlinear Fluid Dynamics from Gravity
• Entropy density of spacetime and the Navier-Stokes fluid dynamics of null surfaces
• New theoretical approaches to black holes
• Charged Black Hole in a Canonical Ensemble
• Black Hole Thermodynamics and Statistical Mechanics
• Hints of quantum gravity from the horizon fluid

Cited by in corpus (3)

• Dynamical de Sitter black holes in a quasi-stationary expansion
• Effective field theory description of horizon-fluid determines the scrambling time
• Possible fluid interpretation and tidal force equation on a generic null hypersurface in Einstein-Cartan theory