A connection between Rastall-type and f(R, T) gravities

Abstract

Recently a Lagrangian formulation for Rastall Gravity (RG) has been proposed in the framework of f(R, T) gravity. In the present work we obtain Lagrangian formulation for the standard Rastall theory assuming the matter content is a perfect fluid with linear Equation of State (EoS). We therefore find a relation between the coupling constant of the Lagrangian, the Rastall gravitational coupling constant and the EoS parameter. We also propose a Lagrangian for the Generalized Rastall Gravity (GRG). In this case the Rastall parameter which is a constant is replaced by a variable one. More exactly, it appears as a function of the Ricci scalar and the trace of the Energy Momentum Tensor (EMT). In both mentioned models, the Lagrangians are constructed by a linear function of R and T.

arXiv comment12 pages,

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• Cosmic dynamics and qualitative study of Rastall model with spatial curvature
• Qualitative study of anisotropic Rastall cosmologies
• Rapidly rotating neutron stars in $f(R,T)$ gravity
• A dynamical system representation of generalized Rastall gravity
• Cosmological implications of Rastall-$f(R)$ theory
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Rotating black holes and exotic compact objects in the Kerr/CFT correspondence within Rastall gravity
• Tidal Love numbers of neutron stars in Rastall gravity
• Cosmological fluids in the equivalence between Rastall and Einstein gravity
• Thick brane in Rastall gravity
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Einstein Static Universe and its Stability in Generalized Rastall Gravity
• Non-Singular Collapse Scenario From Matter-Curvature Coupling
• Wormhole solutions in generalized Rastall gravity
• Non-minimal coupling inspires the Dirac cosmological model
• Gravitational Collapse of an Inhomogeneous Fluid in Rastall Theory