Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases

Abstract

We investigate the cosmological reconstruction in modified f(R,T) gravity, where R is the Ricci scalar and T the trace of the stress-energy tensor. Special attention is attached to the case in which the function f is given by f (R, T) = f1 (R) + f2 (T). The use of auxiliary scalar field is considered with two known examples for the scale factor corresponding to an expanding universe. In the first example, where ordinary matter is usually neglected for obtaining the unification of matter dominated and accelerated phases with f(R)gravity, it is shown in this paper that this unification can be obtained without neglect ordinary matter. In the second example, as in f(R)gravity, model of f(R, T) gravity with transition of matter dominated phase to the acceleration phase is obtained. In both cases, linear function of the trace is assumed for f2(T) and it is obtained that f1(R) is proportional to a power of R with exponents depending on the input parameters.

14 pages, accepted for publication in International Journal of Modern Physics D (IJMPD)

References in corpus (39)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R,T) gravity
• Disappearing cosmological constant in f(R) gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Construction of cosmologically viable f(G) gravity models
• Solar System constraints to general f(R) gravity
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Limit to General Relativity in f(R) theories of gravity
• The Newtonian Limit of F(R) gravity
• Energy conditions in f(R)-gravity
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Solar System tests DO rule out 1/R gravity
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Spherical symmetry in $f(R)$-gravity
• From inflation to dark energy in the non-minimal modified gravity
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• The evolution of density perturbations in f(R) gravity
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• New Static Solutions in f(T) Theory
• Constraining f(R) theories with the energy conditions
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• On the Stability of a class of Modified Gravitational Models
• f(R) Gravity with Torsion: The Metric-Affine Approach
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• The viability of theories with matter coupled to the Ricci scalar
• Viable Palatini-f(R) cosmologies with generalized dark matter
• The evolution of cosmological gravitational waves in f(R) gravity
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• The phase-space of generalized Gauss-Bonnet dark energy
• Quantum effects from particle production on background evolution and Cardy-Verlinde formula in f(R) gravity

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