A proof of the generalized second law for rapidly-evolving Rindler horizons
arXiv:1007.1493 · doi:10.1103/PhysRevD.82.124019
Abstract
The generalized second law is proven for rapidly-evolving semiclassical Rindler horizons at each instant of time, for arbitrary interacting quantum fields minimally coupled to general relativity. The proof requires the background spacetime to have boost and null translation symmetry. Possible extensions to more general horizons and matter-gravity couplings are discussed.
16 pages, 2 figures. v2 edited abstract
References in corpus (22)
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
- Relative entropy and the Bekenstein bound
- Dynamical Origin of the Entropy of a Black Hole
- Renormalization of Black Hole Entropy and of the Gravitational Coupling Constant
- Horizon Entropy
- Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
- Thermal Fields, Entropy, and Black Holes
- Energy conditions and their cosmological implications
- The Off-Shell Black Hole
- Black Hole Entropy and Induced Gravity
- How the Change in Horizon Area Drives Black Hole Evaporation
- Lorentz violation and perpetual motion
- Proof of the Generalized Second Law for Quasistationary Semiclassical Black Holes
- Wavefunction of a Black Hole and the Dynamical Origin of Entropy
- Proving the Achronal Averaged Null Energy Condition from the Generalized Second Law
- Ten Proofs of the Generalized Second Law
- Classical Scalar Fields and the Generalized Second Law
- On the Status of Highly Entropic Objects
- The Physical Process First Law for Bifurcate Killing Horizons
- The Statistical Mechanics of Black Hole Thermodynamics
- Energy, Hamiltonian, Noether Charge, and Black Holes
Cited by in corpus (44)
- Relative entropy equals bulk relative entropy
- Jerusalem Lectures on Black Holes and Quantum Information
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Entanglement Equilibrium and the Einstein Equation
- A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
- Large N algebras and generalized entropy
- Comments on the Necessity and Implications of State-Dependence in the Black Hole Interior
- Proof of a Quantum Bousso Bound
- Exponential corrections to black hole entropy
- The Generalized Second Law implies a Quantum Singularity Theorem
- Relative entropy of excited states in two dimensional conformal field theories
- Do gauge fields really contribute negatively to black hole entropy?
- Generalized Second Law for Cosmology
- The holographic entropy increases in quadratic curvature gravity
- Energy is Entanglement
- Loop Quantum Gravity
- A Lower Bound on the Energy Density in Classical and Quantum Field Theories
- Entanglement entropy production in gravitational collapse: covariant regularization and solvable models
- Light-ray operators, detectors and gravitational event shapes
- Light Cone Thermodynamics
- Mechanical laws of the Rindler horizon
- Microcanonical Action and the Entropy of Hawking Radiation
- Holographic second laws of black hole thermodynamics
- Area, Entanglement Entropy and Supertranslations at Null Infinity
- Asymptotic Entropy Bounds
- Spacetime Equilibrium at Negative Temperature and the Attraction of Gravity
- Thermodynamics of Evolving Lorentzian Wormhole at Apparent and Event Horizons
- Corrections in the relative entropy of black hole microstates
- The holographic dual of Rényi relative entropy
- Correlation functions and quantum measures of descendant states
- The boundary is mixed
- Von Neumann algebra description of inflationary cosmology
- Information content and minimum-length metric: A drop of light
- RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS Gravity
- Towards bit threads in general gravitational spacetimes
- Quasilocal first law of black hole dynamics from local Lorentz transformations
- Relative Entropy and Torsion Coupling
- Extremality as a Consistency Condition on Subregion Duality
- Canonical Quantization of the U(1) Gauge Field in the right Rindler-wedge in the Rindler Coordinates
- An exploration of the black hole entropy in Gauss-Bonnet gravity via the Weyl tensor
- Black Holes as a Gateway to the Quantum: Classical and Semi-Classical Explorations
- A new phenomenological definition of entropy and application to black holes
- Entanglement in descendants
- The generalized second law for Kerr-Taub-NUT black holes perturbed by test field