De Sitter entropy: on-shell versus off-shell
arXiv:2504.01942 · doi:10.1016/j.physletb.2025.139967
Abstract
Attributing thermodynamic properties to the Bunch-Davies state in static patch of de Sitter space and setting the corresponding equations of state, we demonstrate that, for pure gravity, the bulk entropy computed on-shell as a volume integral in de Sitter space coincides with the Wald entropy (area law) in any spacetime dimension and for any theory of f(R) gravity. We extend this result to the renormalized entanglement entropy of a non-minimally coupled scalar field. From the on-shell perspective, entropy emerges as a bulk contribution, whereas from the off-shell viewpoint, it manifests as a boundary (horizon) contribution. As a result, in de Sitter space, generalized entropy can be understood in two distinct ways: either as a bulk or as a boundary contribution.
References in corpus (44)
- f(R) Theories Of Gravity
- Cosmological Constant - the Weight of the Vacuum
- Logarithmic correction to the Bekenstein-Hawking entropy
- Entanglement entropy of black holes
- Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
- General Logarithmic Corrections to Black Hole Entropy
- Hawking Radiation and Black Hole Thermodynamics
- Conformal Vacua and Entropy in de Sitter Space
- Entanglement entropy, conformal invariance and extrinsic geometry
- Hawking temperature in the tunneling picture
- Corrected Entropy-Area Relation and Modified Friedmann Equations
- A Larger Estimate of the Entropy of the Universe
- Black Hole Thermodynamics
- Universality of Quantum Entropy for Extreme Black Holes
- Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
- Entanglement entropy in de Sitter space
- Subtleties in the quasi-classical calculation of Hawking radiation
- Thermal Fields, Entropy, and Black Holes
- De Sitter Musings
- Thermal radiation of various gravitational backgrounds
- Corrected entropy of BTZ black hole in tunneling approach
- Lecture notes on interacting quantum fields in de Sitter space
- Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
- Hawking radiation and secularly growing loop corrections
- Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
- The minus sign in the first law of de Sitter horizons
- Logarithmic correction to black hole entropy from the nonlocality of quantum gravity
- Propagators and Gaussian effective actions in various patches of de Sitter space
- Heating up an environment around black holes and inside de Sitter space
- Curved space equilibration vs. flat space thermalization (a short review)
- Energy, Hamiltonian, Noether Charge, and Black Holes
- Quantum fields in the static de Sitter universe
- Logarithmic correction to BH entropy as Noether charge
- Logarithmic terms in entropy of Schwarzschild black holes in higher loops
- Black Hole Scattering and Partition Functions
- Thermodynamics of Anomaly-Driven Cosmology
- Black Hole Horizon Edge Partition Functions
- Thermodynamics and decay of de Sitter vacuum
- Remarks on the thermofield double state in 4D black hole background
- Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation
- Free energy and entropy in Rindler and de Sitter space-times
- Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
- Is the Euclidean path integral always equal to the thermal partition function?
- On the backreaction issue for the black hole in de Sitter space-time