Energy conditions in $f(R,L_m)$ gravity

Abstract

In order to constrain $f(R,L_m)$ gravity from theoretical aspects, its energy conditions are derived in this paper. These energy conditions given by us are quite general and can be degenerated to the well-known energy conditions in General Relativity and $f(R)$ theories of gravity with arbitrary coupling, non-minimal coupling and non-coupling between matter and geometry, respectively, as special cases. To exemplify how to use these energy conditions to restrict $f(R,L_m)$ gravity, we consider a special model in the FRW cosmology and give some corresponding results by using astronomical observations.

10 pages. arXiv admin note: substantial text overlap with arXiv:1203.5593, arXiv:0903.4540 by other authors

References in corpus (11)

• Cosmology and the Fate of Dilatation Symmetry
• Extra force in $f(R)$ modified theories of gravity
• f(R,L_m) gravity
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Energy conditions in f(R)-gravity
• A kinematical approach to dark energy studies
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Constraining f(R) theories with the energy conditions
• Energy Conditions and Stability in generalized $f(R)$ gravity with arbitrary coupling between matter and geometry
• Non-minimally coupled f(R) Cosmology

Cited by in corpus (63)

• f(T) teleparallel gravity and cosmology
• $f(T,\mathcal{T})$ gravity and cosmology
• Generalized curvature-matter couplings in modified gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Generalized energy conditions in Extended Theories of Gravity
• The role of energy conditions in $f(R)$ cosmology
• Anisotropic compact stars in $f(R)$ gravity
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Cosmology in $f(R,L_m)$ gravity
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Dynamical features of scalar-torsion theories
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Gravastars in $f(\mathbb{T},\mathcal{T})$ gravity
• On the consistency of non-minimally coupled f(R) gravity
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• Cosmological reconstruction of $f(T,\mathcal{T})$ Gravity
• Investigating the dark energy phenomenon in $f(R,L_m)$ cosmological models with observational constraints
• Cosmology from non-minimal geometry-matter coupling
• Growth factor in $f(T,\mathcal{T})$ gravity
• Strong energy condition and the repulsive character of f(R) gravity
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Quark stars with 2.6 $M_{\odot }$ in a non-minimal geometry-matter coupling theory of gravity
• Energy Constraints and Phenomenon of Cosmic Evolution in $f(T,B)$ Framework
• Constraining Anisotropic Cosmological Model in $f(\mathcal{R},{\mathcal{L}}_m)$ Gravity
• Late-time cosmology in $f(Q,L_m)$ gravity: Analytical solutions and observational fits
• Constraining $f(Q,L_m)$ gravity with bulk viscosity
• Constrained evolution of effective equation of state parameter in non-linear $f(R,L_m)$ dark energy model: Insights from Bayesian analysis of cosmic chronometers and Pantheon samples
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Observational analysis of late-time acceleration in $f(Q,L_m)$ gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Bouncing cosmological models in $f(R,L_m)$ gravity
• A constrained cosmological model in $f(R,L_m)$ gravity
• Merging matter and geometry in the same Lagrangian
• Energy conditions in the $f(R,L,T)$ theory of gravity
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
• The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations
• Modified gravity and cosmology with nonminimal (derivative) coupling between matter and the Einstein tensor
• $f(Q,L_m)$ gravity, and its cosmological implications
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions
• 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
• Modified cosmology in $f(Q,L_m)$ gravity
• Energy conditions in f(T) gravity with higher-derivative torsion terms
• Energy conditions in mimetic-$f(R)$ gravity
• $f(\bar{R},L(X))$-gravity in the context of dark energy with power law expansion and energy conditions
• Energy Constraints and $F(T,T_G)$ Cosmology
• New black hole solutions in three-dimensional $f(R)$ gravity
• Energy conditions in $f(Q,L_m)$ gravity
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Cosmology with higher-derivative matter fields
• Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity
• Gravitation with modified fluid Lagrangian: Variational principle and an early dark energy model
• Reconstruction of energy conditions from observations and implications for extended theories of gravity
• Dynamical Systems Analysis of $f(R,L_m)$ Gravity Model
• Energy Conditions and Stability of Charged Wormholes in $f(R,{\mathcal{L}}_m)$ Gravity: A Comparative Analysis with Compact Objects
• Constraints on Energy Conditions in $f(R,L_m)$ Gravity
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity