Reconstruction, Thermodynamics and Stability of ΛCDM Model in f(T,T) Gravity

2015/01/31 by Ednaldo L. B. Junior, Manuel E. Rodrigues, Ines G. Salako +1 · 1 citation
Physics and Astronomy · #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/33/12/125006

published as Class. Quantum Grav. 33 (2016) 125006 · 15 pages, 3 figures, revtex4 format. arXiv admin note: text overlap with arXiv:1506.08695 by other authors

arxiv created 2016/05/18 · arxiv updated 2016/05/19

Abstract

We reconstruct the ΛCDM model for f(T,T) Theory, where T is the torsion scalar and T the trace of the energy-momentum tensor. The result shows that the action of ΛCDM is a combination of a linear term, a constant (-2Λ) and a non-linear term given by the product √(-T)F_g[(T^1/3/16πG)(16πGT+T+8Λ)], with F_g being a generic function. We show that to maintain conservation of energy-momentum tensor should impose that F_g[y] must be linear on the trace T. This reconstruction decays in the f(T) Theory for F_g≡ Q, with Q a constant. Our reconstruction describes the cosmological eras to the present time. The model present stability within the geometric and matter perturbations for the choice F_g=y, where y=(T^1/3/16πG)(16πGT+T+8Λ), except for geometric part to de Sitter model. We impose the first and second laws of thermodynamics to the ΛCDM and find the condition where they are satisfied, that is, T_A,G_eff>0, however where this is not possible for cases where we choose, leading to a breakdown of positive entropy and Misner-Sharp energy.

Citations

• FRW in quadratic form of f(T) gravitational theories

Cited by

• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity