T. B. Gonçalves, J. L. Rosa, F. S. N. Lobo
Abstract
In this work, we use reconstruction methods to obtain cosmological solutions in the recently developed scalar-tensor representation of f(R,T) gravity. Assuming that matter is described by an isotropic perfect fluid and the spacetime is homogeneous and isotropic, i.e., the Friedmann-Lemaître-Robertson-Walker (FLRW) universe, the energy density, the pressure, and the scalar field associated with the arbitrary dependency of the action in T can be written generally as functions of the scale factor. We then select three particular forms of the scale factor: an exponential expansion with a(t)∝et (motivated by the de Sitter solution); and two types of power-law expansion with a(t)∝t1/2 and a(t)∝t2/3 (motivated by the behaviors of radiation- and matter-dominated universes in general relativity, respectively). A complete analysis for different curvature parameters k={−1,0,1} and equation of state parameters w={−1,0,1/3} is provided. Finally, the explicit forms of the functions f(R,T) associated with the scalar-field potentials of the representation used are deduced.
Keywords
General Relativity and Quantum Cosmology
Physical Review D
Volume 105, Issue 6
2022 March
