RECONSTRUCTING f(R, T) GRAVITY FROM HOLOGRAPHIC DARK ENERGY
M. J. S. HoundjoICRA – Centro Brasileiro de Pesquisas Físicas – CBPF – Rua Dr. Xavier Sigaud, 150, Urca, 22290-180, Rio de Janeiro, BrazilOliver F. PiattellaDepartment of Physics, Universidade Federal do Espírito Santo, Avenida Ferrari 514, 29075-910 Vitória, Espírito Santo, Brazil
2012en
ABI
Abstract
We consider cosmological scenarios based on f(R, T) theories of gravity (R is the Ricci scalar and T is the trace of the energy–momentum tensor) and numerically reconstruct the function f(R, T) which is able to reproduce the same expansion history generated, in the standard General Relativity theory, by dark matter and holographic dark energy. We consider two special f(R, T) models: in the first instance, we investigate the modification R + 2f(T), i.e. the usual Einstein–Hilbert term plus a f(T) correction. In the second instance, we consider a f(R) + λT theory, i.e. a T correction to the renown f(R) theory of gravity.
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