Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences

Abstract

We generalize previous work by considering a novel gravitational model with an action given by an arbitrary function of the Ricci scalar, the matter Lagrangian density, a scalar field and a kinetic term constructed from the gradients of the scalar field, respectively. The gravitational field equations in the metric formalism are obtained, as well as the equations of motion for test particles, which follow from the covariant divergence of the stress-energy tensor. Specific models with a nonminimal coupling between the scalar field and the matter Lagrangian are further explored. We emphasize that these models are extremely useful for describing an interaction between dark energy and dark matter, and for explaining the late-time cosmic acceleration.

5 pages, no figures; the expression for the divergence of the energy-momentum tensor has been corrected; references added; minor modifications, accepted for publication in PRD

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Cited by in corpus (31)

• f(R,T) gravity
• $f(T,\mathcal{T})$ gravity and cosmology
• Generalized curvature-matter couplings in modified gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
• Dynamical features of scalar-torsion theories
• Quantum Cosmology of $f(R,T)$ gravity
• Cosmological implications of modified gravity induced by quantum metric fluctuations
• Breaking of the equivalence principle in the electromagnetic sector and its cosmological signatures
• Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
• Non-minimal geometry-matter couplings in Weyl-Cartan space-times: $f(R,T,Q,T_m)$ gravity
• Gravitationally induced particle production in scalar-tensor $f(R,T)$ gravity
• Models of Collapsing and Expanding Anisotropic Gravitating Source in $f(R,T)$ Theory of Gravity
• Modified gravity and cosmology with nonminimal (derivative) coupling between matter and the Einstein tensor
• $f(Q,L_m)$ gravity, and its cosmological implications
• Gravitationally induced matter creation in scalar-tensor $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Constrained transit cosmological models in $f(R,L_m,T)$-gravity
• Non-parametric reconstruction of the fine structure constant with galaxy clusters
• Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Galaxy clusters, cosmic chronometers and the Einstein equivalence principle
• Matter perturbations in Einstein dark energy model
• Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories
• White dwarf cooling in $f(R,T)$ gravity
• Inflation and Dark Matter from The Low Entropy Hypothesis and Modeling Mechanism of Modified Gravity
• Constraining runaway dilaton models using joint gravitational-wave and electromagnetic observations
• Cosmological sudden singularities in $f(R,T)$ gravity
• Gravitational waves in Palatini gravity for a non-minimal geometry-matter coupling