Thermodynamics and decay of de Sitter vacuum

Abstract

We discuss the consequences of unique symmetry of de Sitter spacetime, which is invariant under the modified translations, $\mathbf{r}\to \mathbf{r}-e^{Ht}\mathbf{a}$, where $H$ is the Hubble parameter. Due to this symmetry, all the comoving observers at any point of the de Sitter space perceive the de Sitter environment as the thermal bath with temperature $T=H/\pi$, which is twice larger than the Gibbons-Hawking temperature of the cosmological horizon. This leads to the heat exchange between gravity and matter, and to instability of de Sitter state towards the creation of matter, its further heating, and finally to the decay of the de Sitter state. The temperature $T=H/\pi$ determines different processes in the de Sitter environment, which are not possible in Minkowski vacuum, such as the process of ionization of an atom. This temperature also determines the local entropy of the de Sitter vacuum state, and this allows us to calculate the total entropy inside the cosmological horizon. The result reproduces the Gibbons-Hawking area law, which is related to the cosmological horizon, $S_{\mathrm{hor}}=4\pi KA$, where $K=1/(16\pi G)$. This supports the holographic properties of the cosmological event horizon. We extend the consideration of the local thermodynamics of the de Sitter state using the $f(\mathcal{R})$ gravity. In this thermodynamics, the Ricci scalar curvature $\mathcal{R}$ and the effective gravitational coupling $K$ are thermodynamically conjugate variables. The holographic connection between the bulk entropy of the Hubble volume and the surface entropy of the cosmological horizon remains the same. Such connection takes place only in the $3+1$ spacetime, where there is the special symmetry due to which the variables $K$ and $\mathcal{R}$ have the same dimensionality. We also consider the lessons from the de Sitter symmetry for the thermodynamics of black and white holes.

arXiv comment33 pages, published in Symmetry. The short version arXiv:2312.02292v8, "de Sitter local thermodynamics in f(R) gravity", was published in JETP Letters DOI: 10.1134/S0021364024600526

References in corpus (116)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Cosmological Constant - the Weight of the Vacuum
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Thermodynamics of Spacetime: The Einstein Equation of State
• Hawking Radiation as Tunneling
• Towards the Theory of Reheating After Inflation
• Disappearing cosmological constant in f(R) gravity
• Thermodynamical Aspects of Gravity: New insights
• Equilibrium State of a Massless Self-Interacting Scalar Field in the De Sitter Background
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Semiclassicality and Decoherence of Cosmological Perturbations
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Self-Interaction Correction to Black Hole Radiance
• Gravity and the Thermodynamics of Horizons
• Entropy, Area, and Black Hole Pairs
• One-loop f(R) gravity in de Sitter universe
• Counting States of Near-Extremal Black Holes
• An Algebra of Observables for de Sitter Space
• New Coordinates for de Sitter Space and de Sitter Radiation
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Gravitational Condensate Stars: An Alternative to Black Holes
• Cosmological term as a source of mass
• Dynamic black-hole entropy
• Pair Creation of Black Holes During Inflation
• Black Hole Thermodynamics
• Recent Advances on Inflation
• Microcanonical D-branes and Back Reaction
• Early and late universe holographic cosmology from a new generalized entropy
• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• Nearly Starobinsky inflation from modified gravity
• Quantum Phase Transitions and the Breakdown of Classical General Relativity
• Unification of Constant-roll Inflation and Dark Energy with Logarithmic $R^2$-corrected and Exponential $F(R)$ Gravity
• Generalized Bloch theorem and chiral transport phenomena
• Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling
• On Exclusion of Positive Cosmological Constant
• Self-tuning vacuum variable and cosmological constant
• Area-law versus Rényi and Tsallis black hole entropies
• Stochastic inflation beyond slow roll
• Dynamic vacuum variable and equilibrium approach in cosmology
• de Sitter special relativity
• Quantum Mechanics of Charged Black Holes
• On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?
• Lifetime of a massive particle in a de Sitter universe
• Emergent Models for Gravity: an Overview of Microscopic Models
• Fermionic microstates within Painlevé-Gullstrand black hole
• Inflationary universe from higher-derivative quantum gravity
• Trace-anomaly driven inflation in modified gravity and the BICEP2 result
• Mixed Anomalies: Chiral Vortical Effect and the Sommerfeld Expansion
• Gravity from Spinors
• Merging gauge coupling constants without Grand Unification
• Variable range cotunneling and conductivity of a granular metal
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• Triangular invariants, three-point functions and particle stability on the de Sitter universe
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• Statistical Mechanics of Systems with Negative Temperature
• Phase transitions in spinor quantum gravity on a lattice
• Universal temperature corrections to the free energy for the gravitational field
• Large-Field Inflation and the Cosmological Collider
• Time-Dependent Schrodinger Equation for Black Hole Evaporation: no Information Loss
• Thermodynamics and Spectroscopy of Schwarzschild black hole surrounded by Quintessence
• Particle decay in de Sitter spacetime via quantum tunneling
• Mutiny at the white-hole district
• Bouncing compact objects I: Quantum extension of the Oppenheimer-Snyder collapse
• Extended Einstein-Cartan theory a la Diakonov: the field equations
• The End of a Black Hole's Evaporation -- Part I
• Discrete Spectra of Charged Black Holes
• Evaporating black-to-white hole
• Exponential fading to white of black holes in quantum gravity
• On the Decay of Massive Fields in de Sitter
• Chiral vortical effect with finite rotation, temperature, and curvature
• Review on stochastic approach to inflation
• Chiral torsional effect
• Stochastic inflation at all order in slow-roll parameters: foundations
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Beyond-one-loop quantum gravity action yielding both inflation and late-time acceleration
• Unruh Acceleration Radiation Revisited
• Quantization of area for event and Cauchy horizons of the Kerr-Newman black hole
• De Sitter Stability and Coarse Graining
• Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach
• On the Mechanism of Hawking Radiation
• Renormalisation of IR divergences and holography in de Sitter
• Gravity and Quantum Theory: Domains of Conflict and Contact
• Gravitational Vacuum Condensate Stars
• f(R) Cosmology from q-Theory
• Macroscopic quantum tunneling: from quantum vortices to black holes and Universe
• Stochastic Inflation in General Relativity
• Dark matter from dark energy in q-theory
• Starobinsky Inflation from String Theory?
• Strained Bilayer Graphene, Emergent Energy Scales, and Moire Gravity
• Holographic solar systems and hydrogen atoms: non-relativistic physics in AdS and its CFT dual
• On de Sitter radiation via quantum tunneling
• Gravitational Instanton for Black Hole Radiation
• Thermodynamic solution of the homogeneity, isotropy and flatness puzzles (and a clue to the cosmological constant)
• Varying Newton constant and black hole to white hole quantum tunneling
• Emergence of cosmic space and its connection with thermodynamic principles
• Low-temperature transport through a quantum dot
• On the global temperature of the Schwarzschild-de Sitter spacetime
• Thermodynamics of $f(R)$ Gravity with Disformal Transformation
• Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates
• On vacuum-energy decay from particle production
• Dimensionless physics: continuation
• Measuring Unruh radiation from accelerated electrons
• Instability of de Sitter space under thermal radiation in different vacua
• Alternative approach to the Starobinsky model for inflation scenarios
• Horizon Feedback Inflation
• Clifford algebra Cl(0,6) approach to beyond the standard model and naturalness problems
• Dynamical Vacuum Compressibility of Space
• Negative temperature: further extensions
• Chiral vortical effect generated by chiral anomaly in vortex-skyrmions
• Spacetime geometry from Dirac spinor theory
• From Analogue Models to Gravitating Vacuum
• Heat capacity and quantum compressibility of dynamical spacetimes with thermal particle creation
• Non-perturbative Suppression of Chiral Vortical Effect in Hot (s)QGP for Hyperons Spin Polarization in Heavy Ion Collisions
• Tunneling between single and multi-centered black hole configurations

Cited by in corpus (6)

• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Heat capacity and quantum compressibility of dynamical spacetimes with thermal particle creation
• Topological Origin of Horizon Temperature via the Chern-Gauss-Bonnet Theorem
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• De Sitter entropy: on-shell versus off-shell
• Multidimensional arrow of time