Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling

Abstract

Modified gravity theories with geometry - matter coupling, in which the action is an arbitrary function of the Ricci scalar and the matter Lagrangian ($f\left(R,L_m\right)$ gravity), and of the Ricci scalar and of the trace of the matter energy-momentum tensor ($f(R,T)$ gravity), respectively, have the intriguing property that the divergence of the matter energy - momentum tensor is nonzero. In the present paper, by using the formalism of open thermodynamic systems, we interpret the generalized conservation equations in these gravitational theories from a thermodynamic point of view as describing irreversible matter creation processes, which could be validated by fundamental particle physics. Thus particle creation corresponds to an irreversible energy flow from the gravitational field to the created matter constituents, with the second law of thermodynamics requiring that space-time transforms into matter. The equivalent particle number creation rates, the creation pressure and the entropy production rates are obtained for both $f\left(R,L_m\right)$ and $f(R,T)$ gravity theories. The temperature evolution laws of the newly created particles are also obtained. In the case of the $f(R,T)$ gravity theory the open irreversible thermodynamic interpretation of a simple cosmological model is presented in detail. It is also shown that due to the geometry--matter coupling, during the cosmological evolution a large amount of comoving entropy could be produced.

arXiv comment12 pages, no figures, accepted for publication in PRD; references added. arXiv admin note: text overlap with arXiv:gr-qc/0404045 by other authors without attribution

References in corpus (59)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• f(R,T) gravity
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Extra force in $f(R)$ modified theories of gravity
• f(R,L_m) gravity
• Can dark matter be a Bose-Einstein condensate?
• Action functionals for relativistic perfect fluids
• Reconstruction of some cosmological models in f(R,T) gravity
• Modified-gravity wormholes without exotic matter
• Covariant conservation of energy momentum in modified gravities
• Thermodynamics in f(R,T) Theory of Gravity
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Generalized curvature-matter couplings in modified gravity
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Galactic Searches for Dark Matter
• f(R,T) Cosmological Models in Phase Space
• FRW Cosmology in F(R,T) gravity
• Testing some f(R,T) gravity models from energy conditions
• Energy conditions in $f(R,L_m)$ gravity
• An Alternative f (R, T) Gravity Theory and the Dark Energy Problem
• Modified gravity with R-matter couplings and (non-)geodesic motion
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
• CDM Accelerating Cosmology as an Alternative to LCDM model
• Nonlinear bulk viscosity and inflation
• Matter creation and cosmic acceleration
• Newtonian Perturbations on Models with Matter Creation
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• Gödel solution in $f(R,T)$ gravity
• Is Emergent Universe a Consequence of Particle Creation Process?
• Cosmological perturbations in theories with non-minimal coupling between curvature and matter
• Conservation laws in theories with universal gravity/matter coupling
• Irreversible thermodynamic description of interacting dark energy - dark matter cosmological models
• On the dynamics of perfect fluids in non-minimally coupled gravity
• Gravitationally Induced Particle Production: Thermodynamics and Kinetic Theory
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Inflation with a graceful exit and entrance driven by Hawking radiation
• Modified Gravity with a Non-minimal Gravitational Coupling to Matter
• Constraints on Cold Dark Matter Accelerating Cosmologies and Cluster Formation
• Conservation laws in gravitational theories with general nonminimal coupling
• Can primordial magnetic fields be the origin of the BICEP2 data?
• On the consistency of non-minimally coupled f(R) gravity
• Dark energy, matter creation and curvature
• Tunneling in quantum cosmology: numerical study of particle creation
• Can structure formation distinguish ΛCDM from non-minimal f(R) Gravity?
• Non-minimal Gravitational Coupling of Phantom and Big Rip Singularity
• How unitary cosmology generalizes thermodynamics and solves the inflationary entropy problem
• Is the continuous matter creation cosmology an alternative to $\Lambda$CDM?
• Hawking Radiation as a Mechanism for Inflation
• Continuous matter creation and the acceleration of the universe: the growth of density fluctuations
• Constraints on Bose-Einstein-condensed Axion Dark Matter from The HI Nearby Galaxy Survey data
• Modified theories of gravity with nonminimal coupling and orbital particle dynamics
• Singularity problem in f(R) model with non-minimal coupling

Cited by in corpus (143)

• $f(Q,T)$ gravity
• Coupling matter in modified $Q$-gravity
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Modelling wormholes in $f(R,T)$ gravity
• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Gravitational induced particle production through a nonminimal curvature-matter coupling
• Weyl type $f(Q,T)$ gravity, and its cosmological implications
• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• Cosmological model from the holographic equipartition law with a modified Rényi entropy
• Gravitational waves in the $f(R,T)$ theory of gravity
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Wormholes in exponential $f(R,T)$ gravity
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Quantum Cosmology of $f(R,T)$ gravity
• Wormhole solutions in $f(R,L_m)$ gravity
• Metric-affine f(R,T) theories of gravity and their applications
• Decoupling gravitational sources by MGD approach in Rastall gravity
• Cosmological implications of modified gravity induced by quantum metric fluctuations
• A periodic varying deceleration parameter in $f(R,T)$ gravity
• Anisotropic fluid spheres in the framework of $f(R,\mathcal{T})$ gravity theory
• Configurational entropy in $f(R,T)$ brane models
• General form of entropy on the horizon of the universe in entropic cosmology
• Generalized second law of thermodynamics in f(R,T) theory of gravity
• Constraining effective equation of state in $f(Q,T)$ gravity
• Traversable Wormholes in $f(R,T)$ Gravity
• Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• Mass bounds for compact spherically symmetric objects in generalized gravity theories
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Consequences of energy conservation violation: Late time solutions of $\Lambda (T)CDM$ subclass of $f(R,T)$ gravity using dynamical system approach
• Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Baryogenesis in Nonminimally Coupled $f(R)$ Theories
• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
• Cosmological evolution and dark energy in osculating Barthel-Randers geometry
• Apparent horizon and gravitational thermodynamics of the Universe: Solutions to the temperature and entropy confusions, and extensions to modified gravity
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• Spotting deviations from R^2 inflation
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Dynamics of a parametrized dark energy model in $f(R,T)$ gravity
• Bulk viscous matter and the cosmic acceleration of the universe in $f(Q,T)$ gravity
• Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity
• Full linear perturbations and localization of gravity on $f(R,T)$ brane
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• The Einstein dark energy model
• Gravitationally induced particle production in scalar-tensor $f(R,T)$ gravity
• Energy nonconservation as a link between $f(R,T)$ gravity and noncommutative quantum theory
• Cosmographic analysis of a closed bouncing universe with the varying cosmological constant in $f(R,T)$ gravity
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• Traversable wormholes in the traceless $f(R,T)$ gravity
• Constraining viscous dark energy equation of state in $f(R,L_m)$ gravity
• Equations of motion in metric-affine gravity: A covariant unified framework
• Cosmic microwave background radiation temperature in a dissipative universe
• Bouncing cosmological models in $f(R,L_m)$ gravity
• An exponential shape function for wormholes in modified gravity
• Dynamical features of an anisotropic cosmological model
• Compact stars in Rastall gravity: hydrostatic equilibrium and radial pulsations
• Energy conditions in the $f(R,L,T)$ theory of gravity
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• Dynamical stability in models where dark matter and dark energy are non-minimally coupled to curvature
• Irreversible thermodynamical description of warm inflationary cosmological models
• A dynamical system representation of generalized Rastall gravity
• Multipolar test body equations of motion in generalized gravity theories
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Gravitationally induced matter creation in scalar-tensor $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Interaction of divergence-free deceleration parameter in Weyl-type $f(Q,T)$ gravity
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• Extended $\Lambda$CDM model and viscous dark energy: A Bayesian analysis
• The simplest parametrization of equation of state parameter in the scalar field Universe
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Viability of the $R+e^T$ cosmology
• Two fluid anisotropic dark energy models in a scale invariant theory
• Cosmological models with squared trace in modified gravity
• Observational constraints on the interacting dark energy - dark matter (IDM) cosmological models
• Interpretation of $f(\mathsf{R},\mathsf{T})$ gravity in terms of a conserved effective fluid
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• Energy-Momentum Squared Gravity: A Brief Overview
• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ gravity
• Quintessence-like features in the late-time cosmological evolution of $f(Q)$ symmetric teleparallel gravity
• Friedmann equations from nonequilibrium thermodynamics of the Universe: A unified formulation for modified gravity
• Degeneracy between CCDM and $\Lambda$CDM cosmologies
• Scalar particle production in a simple Horndeski theory
• Vector dark energy models with quadratic terms in the Maxwell tensor derivatives
• Reheating and particle creation in unimodular f(R, T) gravity
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• Evolution of thermodynamic quantities on cosmological horizon in $\Lambda (t)$ model
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Superconducting dark energy
• Dynamical analysis of modified gravity with nonminimal gravitational coupling to matter
• Dynamical analysis of logarithmic energy-momentum squared gravity
• Search for the $f(R,T)$ gravity functional form via gaussian processes
• MOND as the weak field limit of an extended metric theory of gravity with a matter-curvature coupling
• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity in Bianchi-I spacetime
• Investigating the physical and geometrical parameters of the cosmological models with anisotropic background
• Accelerating model of flat universe in $f(R,T)$ gravity
• Thick brane in Rastall gravity
• Wormhole solutions under the effect of dark matter in $f(R,L_m)$ gravity
• Gravitational baryogenesis without CPT violation
• Irreversible Geometrothermodynamics of Open Systems in Modified Gravity
• Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
• Square-Root parametrization of dark energy in $f(Q)$ cosmology
• Gravitationally induced particle production and its impact on structure formation
• Evolution of dissipative and non-dissipative universes in holographic cosmological models with a power-law term
• Interacting Holographic dark energy with matter creation: A dynamical system analysis
• Boltzmann's $H$-theorem, entropy and the strength of gravity in theories with a nonminimal coupling between matter and geometry
• Cosmic Acceleration from Varying Masses in Five Dimensions
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Cosmological model based on both holographic-like connection and Padmanabhan's holographic equipartition law
• From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
• Constraints on running vacuum models with the baryon-to-photon ratio
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• Modified $f(R,T)$ theory in light of gravitational wave standard sirens
• Modified Gravity with Nonminimal Curvature-Matter Couplings: A Framework for Gravitationally Induced Particle Creation
• Non-singular bouncing cosmology in $f(T,\mathcal{T})$ gravity with energy condition violations
• Baryon asymmetry from higher-order matter contributions in gravity
• Thermodynamics of the Primordial Universe
• Gravitation with modified fluid Lagrangian: Variational principle and an early dark energy model
• Dynamical systems analysis of a cosmological model with interacting Umami Chaplygin fluid in adiabatic particle creation mechanism: Some bouncing features
• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Regular black hole solutions in $(2+1)$-dimensional $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Cosmologies in $f(R,{\mathcal{L}}_m)$ theory with non-minimal coupling between geometry and matter
• Eckart heat-flux applicability in $F(\Phi ,X)R$ theories and the existence of temperature gradients
• Observational constraints on generic models of non-minimal curvature-matter coupling
• On the correspondence between energy conservation and energy-momentum tensor conservation in cosmology
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model
• Spin effects on particle creation and evaporation in $f(R,T)$ gravity
• Entropies of the various components of the universe
• Cosmological implications and causality in $f(R,L_m,T)$ gravity theory with observational constraints
• On energy-momentum conservation in non-minimal geometry-matter coupling theories
• Gravitational waves in Palatini gravity for a non-minimal geometry-matter coupling
• Thermomagnetic Ettingshausen-Nernst effect in tachocline, magnetic reconnection phenomenon in lower layers, axion mechanism of solar luminosity variations, coronal heating problem solution and mechanism of ADM variations around BH
• Cosmological sudden singularities in $f(R,T)$ gravity
• Evolution and thermodynamics of new holographic dark energy with bulk viscosity in modified $f(R,T)$ gravity
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe