Dark Matter From f(R,T) Gravity

Abstract

We consider f(R,T) modified theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor of the matter, in order to investigate the dark-matter effects on the galaxy scale. We obtain the metric components for a spherically symmetric and static spacetime in the vicinity of general relativity solutions. However, we concentrate on a specific model of the theory where the matter is minimally coupled to the geometry, and derive the metric components in the galactic halo. Then, we fix the components by the rotational velocities of the galaxies for the model, and show that the mass corresponding to the interaction term (which appears in the Einstein modified field equation) leads to a flat rotation curve in the halo of galaxies. In addition, for the proposed model, the light-deflection angle has been derived and drawn using some observed data.

arXiv comment12 pages, 3 figures

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• $f(Q,T)$ gravity
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• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• Non-exotic matter wormholes in a trace of the energy-momentum tensor squared gravity
• $f(Q,T)$ gravity models with observational constraints
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• 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
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Cosmological inviability of $f(R,T)$ gravity
• Bouncing cosmological solutions from f(R,T) gravity
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Existence of Non-singular Stellar Solutions within the context of Electromagnetic Field: A Comparison between Minimal and Non-minimal Gravity Models
• Reexamining $f(R,T)$ gravity
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• Charged wormholes in f(R,T) extended theory of gravity
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Inflation in $f(R,T)$ Gravity
• Limits on $f(R,T)$ Gravity from Earth's Atmosphere
• Non-exotic traversable wormhole solutions in linear $f\left(R,T\right)$ gravity
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology
• A connection between Rastall-type and f(R, T) gravities
• Accelerating Universe in Hybrid and Logarithmic Teleparallel Gravity
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Cosmological aspects of a hyperbolic solution in $f(R,T)$ gravity
• Observational Constraint in $f(R,T)$ gravity from the cosmic chronometers and some standard distance measurement parameters
• Cosmology in scalar-tensor $f(R,T)$ gravity
• Bouncing cosmology in modified gravity with higher-order curvature terms
• $f(R,T)=f(R)+\lambda T$ gravity models as alternatives to cosmic acceleration
• New explanation for accelerated expansion and flat galactic rotation curves
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• General approach to the Lagrangian ambiguity in $f(R,T)$ gravity
• Can $f(T)$ models play a bridge between early and late time Universe?
• Power-law solution for homogeneous and isotropic universe in $f(R,T)$ gravity
• Physical validity of anisotropic models derived from isotropic fluid dynamics in $f(R,T)$ theory: An implication of gravitational decoupling
• Scalarons mimicking Dark Matter in the Hu-Sawicki model of f(R) gravity
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Late-Time Viscous Cosmology in $f(R,T)$ Gravity
• Decoupled Anisotropic Buchdahl's Relativistic Models in $f(\mathbb{R},\mathbb{T})$ Theory
• Traversable wormholes in the traceless $f(R,T)$ gravity
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations
• A dynamical system representation of generalized Rastall gravity
• Transitioning scenario of Bianchi-I universe within $f\left(R,T\right)$ formalism
• Modified gravity and cosmology with nonminimal (derivative) coupling between matter and the Einstein tensor
• Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation
• Inflationary Cosmology in the Modified $f(R,T)$ Gravity
• Inflation in mimetic $f(R,T)$ gravity
• $f(Q,L_m)$ gravity, and its cosmological implications
• Interpretation of $f(\mathsf{R},\mathsf{T})$ gravity in terms of a conserved effective fluid
• A Complete Cosmological Scenario in Teleparallel Gravity
• Constraining f(R,T) Gravity From The Dark Energy Density Parameter ${\Omega }_{\Lambda }$
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• BBN Constraints on $f(Q,T)$ Gravity
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Galactic rotation dynamics in a new $f(\mathcal{R})$ gravity model
• Redshift Drift in $f(R,T)$ Gravity
• Junction conditions of Palatini $f\left(\mathcal{R},T\right)$ gravity
• Light deflection angle through velocity profile of galaxies in $f(R)$ model
• Chebyshev cosmography in the framework of extended symmetric teleparallel theory
• Topological black holes in mimetic gravity
• Warm Inflation in $f(R,T)$ gravity
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology
• Inflation in f(R,T) gravity with Double-Well potential
• Evolution of Spherical Overdensities in Energy-Momentum-Squared Gravity
• Accelerating model of flat universe in $f(R,T)$ gravity
• Are $f(R,\mathrm{Matter})$ theories really relevant to cosmology?
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• Cosmic Acceleration and Geodesic Deviation in Chameleon Scalar Field Model
• Stellar structure in $f(R,T)$ gravity: some exact solutions
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Growth of cosmic perturbations in the modified $f(R,T)$ gravity
• Gravitational Collapse in Energy-momentum squared gravity: Nature of singularities
• Cosmological Solutions of Chameleon Scalar Field Model
• Modified $f(R,T)$ theory in light of gravitational wave standard sirens
• Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory
• Comparison of $f(R,T)$ Gravity with Type Ia Supernovae Data
• Analysing Ultra High Energy Cosmic Rays' Anisotropy in $\mathbf{f}(\mathbf{R},\mathbf{T})$ Gravity Theory
• Galactic dynamics in the presence of scalaron: A perspective from $\mathbf{f}(\mathbf{R})$ gravity
• Chameleon Gravity as an Alternative to Dark Matter
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Formation of Singularity and Apparent Horizon for Dissipative Collapse in $f(R,T)$ Theory of Gravity
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• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe
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