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Cosmology in scalar-tensor f (R ,T) gravity

T. B. Gonçalves, J. L. Rosa, F. S. N. Lobo

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.

General Relativity and Quantum Cosmology

Physical Review D
Volume 105, Issue 6
2022 March

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia