Reconstructing $f(R,T)$ gravity from holographic dark energy

Details Reconstructing $f(R,T)$ gravity from holographic dark energy Reconstructing $f(R,T)$ gravity from holographic dark energy

2011-11-18

arxiv.org/abs/1111.4275v2

IJMPD 2, 1250024 (2012)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 6 figures, accepted for publication in IJMPD

Scientific paper

10.1142/S0218271812500241

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 $f(R)+\lambda T$ theory, i.e. a $T$ correction to the renown $f(R)$ theory of gravity.

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