Power-law solution for homogeneous and isotropic universe in $f(R,T)$ gravity

Autor: Sharma, Lokesh Kumar, Yadav, Anil Kumar, Singh, B. K.
Rok vydání: 2019
Předmět:
Zdroj: New Astronomy 79, 101396 (2020)
Druh dokumentu: Working Paper
DOI: 10.1016/j.newast.2020.101396
Popis: In the present work, we search the simplest cosmological model in $f(R,T)$ gravity by considering its functional form $f(R,T) = R + \xi R T$ with $\xi$ being positive constant. We have constructed the Einstein's field equation in $f(R,T)$ gravity for homogeneous and isotropic space time. The explicit solution of the constructed model is obtained by considering the scale factor as $a = \alpha t^{\beta}$ with $\alpha$ and $\beta$ being free parameters. The values of $\alpha$ and $\beta$ are obtained by using Markov Chain Monte Carlo (MCMC) method to constraining the model under consideration with observational $H(z)$ data. Some physical and kinematic properties of the model are also discussed.
Comment: 11 pages, 7 figures
Databáze: arXiv