Late time dynamics of f(R,T,RμνTμν) gravity

Autor: Behrouz Mirza, Parisa Shahidi, Fatemeh Oboudiat, Maryam Aghaei Abchouyeh
Rok vydání: 2020
Předmět:
Zdroj: International Journal of Geometric Methods in Modern Physics. 17:2050008
ISSN: 1793-6977
0219-8878
DOI: 10.1142/s0219887820500085
Popis: Dynamical behavior and future singularities of [Formula: see text] gravitational theory are investigated. This gravitational model is a more complete form of the [Formula: see text] gravity which can offer new dynamics for the universe. We investigate this gravitational theory for the case [Formula: see text] using the method of autonomous dynamical systems and by assuming an interaction between matter and dark energy. The fixed points are identified and the results are consistent with standard cosmology and show that for small [Formula: see text], the radiation-dominated era is an unstable fixed point of the theory and the universe will continue its procedure toward matter era which is a saddle point of the theory and allows the evolution to dark energy-dominated universe. Finally, the dark energy-dominated epoch is a stable fixed point and will be the late time attractor for the universe. We also consider future singularities for the two [Formula: see text] and [Formula: see text] cases and for [Formula: see text] and [Formula: see text]. Our results show that for the case of [Formula: see text], the future singularities of the universe will happen in the same condition as do for the Einstein–Hilbert FRW universe. However, a new type of singularity is obtained for [Formula: see text] that is captured by [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text].
Databáze: OpenAIRE