f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe

Abstract

We propose general f(R,T,R_{μν}T^{μν}) theory as generalization of covariant Horava-like gravity with dynamical Lorentz symmetry breaking. FRLW cosmological dynamics for several versions of such theory is considered. The reconstruction of the above action is explicitly done, including the numerical reconstruction for the occurrence of ΛCDM universe. De Sitter universe solutions in the presence of non-constant fluid are also presented. The problem of matter instability in f(R,T,R_{μν}T^{μν}) gravity is discussed.

12 pages. Analysis extended and minor corrections. Version published in PLB

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• f(R,T) gravity
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Cited by in corpus (153)

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• Nonminimal torsion-matter coupling extension of f(T) gravity
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• Conformal symmetry and accelerating cosmology in teleparallel gravity
• $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity and Cardassian-like expansion as one of its consequences
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• Charged Gravastars in Modified Gravity
• Generalizing the coupling between geometry and matter: $f(R,L_m,T)$ gravity
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• Einstein static Universe in hybrid metric-Palatini gravity
• Cosmic acceleration in dust only Universe via energy-momentum powered gravity
• Quantum Cosmology of $f(R,T)$ gravity
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Construction of Charged Cylindrical Gravastar-like Structures
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
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• Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory
• Consequences of energy conservation violation: Late time solutions of $\Lambda (T)CDM$ subclass of $f(R,T)$ gravity using dynamical system approach
• Gravastars in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
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• Stable and self consistent charged gravastar model within the framework of $f(R,T)$ gravity
• Stability of Anisotropic Stellar Filaments
• An Exponential F(R) Dark Energy Model
• Spotting deviations from R^2 inflation
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
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• Estimating the Role of Bag Constant and Modified Theory on Anisotropic Stellar Models
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• Generalized Rastall's gravity and its effects on compact objects
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Generalized Second Law of Thermodynamics in $f(T,T_G)$ gravity
• Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity
• The Einstein dark energy model
• Scalar modes in extended hybrid metric-Palatini gravity: weak field phenomenology
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• Constraining study of charged gravastars solutions in symmetric teleparallel gravity
• Study of Charged Compact Stars in Non-minimally Coupled Gravity
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• Geometric structures of Morris-Thorne wormhole metric in $f(R,L_m)$ gravity and energy conditions
• Cosmological models in scale-independent energy-momentum squared gravity
• The first variation of the matter energy-momentum tensor with respect to the metric, and its implications on modified gravity theories
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• Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory
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• Late Time Cosmological Evolution in f(R) theories with Ordinary and Collisional Matter
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Cosmological implications of Rastall-$f(R)$ theory
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• Exact Solutions and Conserved Quantities in f(R,T) Gravity
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• Weak field and slow motion limits in energy-momentum powered gravity
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• Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis
• Thermodynamics in a Modified Gravity Involving Higher-Order Torsion Derivative Terms
• Black hole solutions in modified gravity induced by quantum metric fluctuations
• Dynamical stability of extended teleparallel gravity
• Generalized Teleparallel Theory
• Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Cosmology with higher-derivative matter fields
• Spherically symmetric solutions of light Galileon
• Non-minimal Energy-momentum squared gravity
• Hybrid star within $f(\mathcal{G})$ gravity
• Relativistic binary systems in scale-independent energy-momentum squared gravity
• Palatini $f(\mathcal{R},{\mathcal{L}}_m,{\mathcal{R}}_{\mu \nu }{T}^{\mu \nu })$ gravity and its Born-Infeld semblance
• Second law of thermodynamics in nonminimally coupled gravity
• Cosmology in theories with derivative matter coupling
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Role of $\sigma R^2+\gamma R_{\mu \nu }{T}^{\mu \nu }$ Model on Anisotropic Polytropes
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization
• Late time dynamics of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Cosmological dynamics of interacting dark energy and dark matter in $f(Q)$ gravity
• Cosmic acceleration via derivative matter couplings
• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity
• Relativistic MOND from Modified Energetics
• Einstein Spaces Modeling Nonminimal Modified Gravity
• Investigating new forms of gravity-matter couplings in the gravitational field equations
• Charged analog of anisotropic dark energy star in Rastall gravity
• Slow-roll inflation in $f\left(R,T,R_{ab}{T}^{ab}\right)$ gravity
• White dwarf structure in $f(R,T,L_m)$ gravity: beyond the Chandrasekhar mass limit
• Energy Conditions in $f(P)$ Gravity
• Matter perturbations in Einstein dark energy model
• Matter Creation Cosmologies and Accelerated Expansion
• Cosmology of the non-local Proca theory
• Stability in higher-derivative matter fields theories
• An ostentatious model of cosmological scalar-tensor theory
• A Modified Gravitational Theory of the Matter Sector of the Type $\varphi (R,T){\mathcal{L}}_m$
• Noether gauge symmetry approach applying for the non-minimally coupled gravity to the Maxwell field
• Cosmology in the mimetic higher-curvature $f(R,R_{\mu \nu }{R}^{\mu \nu })$ gravity
• Cosmological sudden singularities in $f(R,T)$ gravity
• Gravitational waves in Palatini gravity for a non-minimal geometry-matter coupling