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Cosmology from f(R,T) Theory in a Variant Speed of Light Scenario

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Abstract

In this work I present a generalization of f(R, T) gravity, by allowing the speed of light to vary. Cosmological solutions are presented for matter and radiation-dominated universes, the former allowing the universe expansion to accelerate while the latter contemplating a possible alternative to inflationary scenario. Remarkably, standard gravity is always retrieved for a special case of f(R, T).

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Notes

  1. In Brans-Dicke theory [8], a scalar field dynamics may be interpreted as due to a time variable G.

  2. This happens in a preferred frame for which the Ricci scalar is computed from g μ ν at constant ψ in the usual way. Additional terms in ∂ μ ψ will be present in other frames.

  3. This is not an f(R, T) = R + 2λ T exclusivity. For many different functional forms of f(R, T) found in the literature, the same feature is revealed.

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Authors and Affiliations

  1. ITA - Instituto Tecnológico de Aeronáutica - Departamento de Física, 12228-900, São José dos Campos, São Paulo, Brazil

    P. H. R. S. Moraes

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  1. P. H. R. S. Moraes
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Correspondence to P. H. R. S. Moraes.

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Moraes, P.H.R.S. Cosmology from f(R,T) Theory in a Variant Speed of Light Scenario. Int J Theor Phys 55, 1307–1314 (2016). https://doi.org/10.1007/s10773-015-2771-3

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