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.

12 pages, 3 figures

References in corpus (15)

• f(R,T) gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• Modified gravity with arbitrary coupling between matter and geometry
• Dark energy and dark matter as curvature effects
• Analysis of Rotation Curves in the framework of R^n gravity
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Generalized virial theorem in f(R) gravity
• Dark matter and dark energy as a effects of Modified Gravity
• An $f(R)$ gravitation for galactic environments
• f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration
• Galactic dark matter as a bulk effect on the brane
• Accelerating universe in $f(\mathcal{R})$ brane gravity

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• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Inflation in $f(R,T)$ Gravity
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Limits on $f(R,T)$ Gravity from Earth's Atmosphere
• A connection between Rastall-type and f(R, T) gravities
• New explanation for accelerated expansion and flat galactic rotation curves
• Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity
• Late-Time Viscous Cosmology in $f(R,T)$ Gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• A dynamical system representation of generalized Rastall gravity
• A Complete Cosmological Scenario in Teleparallel Gravity
• Redshift Drift in $f(R,T)$ Gravity
• Study of Anisotropic Polytropes in $f(\mathcal{R},\mathrm{T})$ Theory