A note on electrical and thermodynamic properties of Isolated Horizon

Abstract

The electrical laws and Carnot cycle of Isolated Horizon (IH) are investigated in this paper. We establish the Ohm's law and Joule's law of an Isolated Horizon, and find that the conceptual picture of black holes (Membrane Paradigm) can also apply to this kind of quasi-local black holes. We also investigate the geometrical properties near a non-rotating IH, and find that under the first-order approximation of r, there exist a Killing vector and a Hamiltonian conjugate to it, so this vector is a physical observer. We calculate the energy as measured at infinity of a particle at rest outside a non-rotating IH, and use this result to construct a reversible Carnot cycle with the Isolated Horizon as a cold reservoir, which confirms the thermodynamic nature of Isolated Horizon.

21 pages, 1 figure

References in corpus (14)

• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• Extremal Isolated Horizon/CFT Correspondence
• Tunneling Effect Near Weakly Isolated Horizon
• From Petrov-Einstein to Navier-Stokes
• CFT/Gravity Correspondence on the Isolated Horizon
• Generic isolated horizons in loop quantum gravity
• On Gravitational anomaly and Hawking radiation near weakly isolated horizon
• Isolated Horizon structures in quasiequilibrium black hole initial data
• The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
• Neighbourhoods of Isolated Horizons and their stationarity
• Isolated horizons, p-form matter fields, topology and the black-hole/string correspondence principle
• Recovering information of tunneling spectrum from Weakly Isolated Horizon
• Entropy of isolated horizon from surface term of gravitational action