A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory

Abstract

Recent elaborated by T. Harko and collaborators, the $f(R,T)$ theories of gravity contemplate an optimistic alternative to dark energy, for which $R$ and $T$ stand for the Ricci scalar and the trace of the energy-momentum tensor, respectively. Although the literature has shown that the $T$ dependence on the gravitational part of the action - which is due to the consideration of quantum effects - may induce some novel features in the scope of late-time cosmological dynamics, in the radiation-dominated universe, when $T=0$, no contributions seem to rise from such theories. Apparently, $f(R,T)$ contributions to a radiation-dominated universe may rise only from the $f(R,T^{\phi })$ approach, which is nothing but the $f(R,T)$ gravity in the case of a self-interacting scalar field whose trace of the energy-momentum tensor is $T^{\phi }$. We intend, in this article, to show how $f(R,T^{\phi })$ theories of gravity can contribute to the study of the primordial stages of the universe. Our results predict a graceful exit from inflationary stage to a radiation-dominated era. They also predict a late-time cosmic acceleration after a matter-dominated phase, making the $f(R,T^{\phi })$ theories able to describe, in a self-consistent way, all the different stages of the universe dynamics.

10 pages, 6 figures

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• The simplest non-minimal matter-geometry coupling in the $f(R,T)$ cosmology
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• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Impact of the Rastall parameter on perfect fluid spheres
• Cosmic acceleration in dust only Universe via energy-momentum powered gravity
• Strange stars in Krori-Barua space-time under f(R; T) gravity
• Quantum Cosmology of $f(R,T)$ gravity
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model
• A transition from a decelerated to an accelerated phase of the universe expansion from the simplest non-trivial polynomial function of T in the f(R,T) formalism
• Traversable Wormholes in $f(R,T)$ Gravity
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Wormhole solutions in $f(Q,T)$ gravity with a radial dependent B parameter
• Noether Symmetry Approach in Energy-Momentum Squared Gravity
• The constrained cosmological model in Lyra geometry
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• Traversable wormholes with logarithmic shape function in f(R, T) gravity
• Statefinder Analysis of Symmetric Teleparallel Cosmology
• Stability of the Closed Einstein Universe in Energy-Momentum Squared Gravity
• Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions
• Spherically symmetric isothermal fluids in $f(R,T)$ gravity
• Reconstruction of $f(R,T)$ gravity model via the Raychaudhuri equation
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• A Complete Cosmological Scenario in Teleparallel Gravity
• A cosmological scenario from the Starobinsky model within the $f(R,T)$ formalism
• Braneworlds in Horndeski gravity
• Stellar Structures admitting Noether Symmetries in $f(\mathcal{R},\mathcal{T})$ Gravity
• Configurational entropy as a bounding of Gauss-Bonnet braneworld models
• Search for the $f(R,T)$ gravity functional form via gaussian processes
• Exploring the Cosmological Model in $f(R,T^{\varphi })$ Gravity with Observational Constraints
• Stable soliton dark matter wormhole in non-minimally coupled $f(\mathcal{Q},\mathcal{T})$ gravity
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Bulk viscous fluid in symmetric teleparallel cosmology: theory versus experiment
• Building analytical three-field cosmological models
• Cosmological scenarios from multiquintessence
• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization
• Cosmology from a running vacuum model driven by a scalar field
• Dynamical Wormhole Solutions in $f(R,T)$ Gravity
• Modeling dark sector in Horndeski gravity at first-order formalism