Impact of quasi-conformal curvature tensor in spacetimes and f (R, G)-gravity

被引：0
|
作者：
De, Uday Chand [1 ]
Hazra, Dipankar [2 ]
机构：
[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, West Bengal, India
[2] Univ Kalyani, Dept Math, Kalyani 741235, West Bengal, India
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2023年 / 138卷 / 05期
关键词：
ENERGY CONDITIONS; MANIFOLDS;
D O I：
10.1140/epjp/s13360-023-03970-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
At first, we showthat a quasi-conformally flat perfect fluid spacetime is a de-Sitter spacetime aswell as a Robertson-Walker spacetime. We study this spacetime as a solution of f (R, G)-gravity theory, and obtain a relation among snap, jerk, and deceleration parameters using flat Friedmann-Robertson-Walker metric. Several energy conditions in terms of Ricci scalar are investigated with the models f (R, G) = mu R(beta 1)G(beta 2), f (R, G) + alpha R-1 + alpha(2)RmGn and f (R, G) = R + a(1)G(alpha 3). For these models, the weak, null and dominant energy conditions are satisfied while the strong energy condition is violated, which is a good agreement with the recent observational studies which reveals that the current Universe is in accelerating phase.
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页数：12
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