Gravitational Energy, Local Holography and Non-equilibrium Thermodynamics
arXiv:1312.1538 · doi:10.1088/0264-9381/32/5/055005
Abstract
We study the properties of gravitational system in finite regions bounded by gravitational screens. We present the detail construction of the total energy of such regions and of the energy and momentum balance equations due to the flow of matter and gravitational radiation through the screen. We establish that the gravitational screen possesses analogs of surface tension, internal energy and viscous stress tensor, while the conservations are analogs of non-equilibrium balance equations for a viscous system. This gives a precise correspondence between gravity in finite regions and non-equilibrium thermodynamics.
41 pages, 3 figures
References in corpus (11)
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Towards a derivation of holographic entanglement entropy
- 3+1 Formalism and Bases of Numerical Relativity
- New theoretical approaches to black holes
- Hydrodynamics of spacetime and vacuum viscosity
- Area evolution, bulk viscosity and entropy principles for dynamical horizons
- On covariant phase space methods
- Comments on "On the Origin of Gravity and the Laws of Newton", by Erik Verlinde
- Deformation of Codimension-2 Surface and Horizon Thermodynamics
- Horizon energy as the boost boundary term in general relativity and loop gravity
- The Einstein equation of state as the Clausius relation with an entropy production
Cited by in corpus (10)
- Local subsystems in gauge theory and gravity
- Gravity Degrees of Freedom on a Null Surface
- Non-equilibrium thermodynamics of gravitational screens
- Kinematical Gravitational Charge Algebra
- Motion of localized sources in general relativity: gravitational self-force from quasilocal conservation laws
- The thermodynamics of quantum spacetime histories
- Quasilocal energy and thermodynamic equilibrium conditions
- Bulk entropy is crucial to validate the second law of the extended black hole thermodynamics
- Energy of cosmological spacetimes and perturbations: a quasilocal approach
- Entropy theorems in classical mechanics, general relativity, and the gravitational two-body problem