Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity

Ahmed Al-haysah; Abdulvahid Hasmani

doi:10.33187/jmsm.435340

EN

Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity

Abstract

In this paper, we attempt to study spatially homogeneous Bianchi types-III, V, VI$_0$ $\&$ VI$_h$ cosmological models in $f(R, T)$ theory of gravity. Here the models are obtained by assuming forms of the function $f(R, T)$ as $f(R, T)= R + 2f(T)$ and $f(R, T) = f_1(R)+f_2(T)$. The exact solutions of Einstein's field equations (EFEs) have been obtained for two different types of physically viable cosmologies using a special form of Hubble parameter (HP). The physical and geometrical properties of these models have been discussed and expressions for the Ricci scalar $R$ in each case are obtained.

Keywords

Bianchi types-III V VI$_0$ $\&$ VI$_h$,$f(R-T)$ theory of gravity,Cosmic time,Cosmological constant,Exact solutions,Hubble parameter,Variational principle

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ahmed Al-haysah ^*
India

Abdulvahid Hasmani ^* This is me
India

Publication Date

December 26, 2019

Submission Date

June 21, 2018

Acceptance Date

April 30, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

DOI

https://doi.org/10.33187/jmsm.435340

IZ

https://izlik.org/JA84ET36RY

APA

Al-haysah, A., & Hasmani, A. (2019). Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity. Journal of Mathematical Sciences and Modelling, 2(3), 163-175. https://doi.org/10.33187/jmsm.435340

AMA

1.Al-haysah A, Hasmani A. Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity. Journal of Mathematical Sciences and Modelling. 2019;2(3):163-175. doi:10.33187/jmsm.435340

Chicago

Al-haysah, Ahmed, and Abdulvahid Hasmani. 2019. “Some Exact Bianchi Types Cosmological Models in F(R, T) Theory of Gravity”. Journal of Mathematical Sciences and Modelling 2 (3): 163-75. https://doi.org/10.33187/jmsm.435340.

EndNote

Al-haysah A, Hasmani A (December 1, 2019) Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity. Journal of Mathematical Sciences and Modelling 2 3 163–175.

IEEE

[1]A. Al-haysah and A. Hasmani, “Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity”, Journal of Mathematical Sciences and Modelling, vol. 2, no. 3, pp. 163–175, Dec. 2019, doi: 10.33187/jmsm.435340.

ISNAD

Al-haysah, Ahmed - Hasmani, Abdulvahid. “Some Exact Bianchi Types Cosmological Models in F(R, T) Theory of Gravity”. Journal of Mathematical Sciences and Modelling 2/3 (December 1, 2019): 163-175. https://doi.org/10.33187/jmsm.435340.

JAMA

1.Al-haysah A, Hasmani A. Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity. Journal of Mathematical Sciences and Modelling. 2019;2:163–175.

MLA

Al-haysah, Ahmed, and Abdulvahid Hasmani. “Some Exact Bianchi Types Cosmological Models in F(R, T) Theory of Gravity”. Journal of Mathematical Sciences and Modelling, vol. 2, no. 3, Dec. 2019, pp. 163-75, doi:10.33187/jmsm.435340.

Vancouver

1.Ahmed Al-haysah, Abdulvahid Hasmani. Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity. Journal of Mathematical Sciences and Modelling. 2019 Dec. 1;2(3):163-75. doi:10.33187/jmsm.435340