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How a Conformally Flat Impacts Gauss-Bonnet Gravity?
Fortschritte der Physik ( IF 3.9 ) Pub Date : 2021-08-20 , DOI: 10.1002/prop.202100088
Avik De 1 , Tee‐How Loo 2 , Raja Solanki 3 , P.K. Sahoo 3
Affiliation  

First and foremost, we show that a 4-dimensional conformally flat generalized Ricci recurrent spacetime urn:x-wiley:00158208:media:prop202100088:prop202100088-math-0003 is an Einstein manifold. We examine such a spacetime as a solution of urn:x-wiley:00158208:media:prop202100088:prop202100088-math-0004-gravity theory and it is shown that the additional terms from the modification of the gravitational sector can be expressed as a perfect fluid. Several energy conditions are investigated with urn:x-wiley:00158208:media:prop202100088:prop202100088-math-0005 and urn:x-wiley:00158208:media:prop202100088:prop202100088-math-0006. For both the models, weak, null and dominant energy conditions are satisfied while 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.

中文翻译:

共形平面如何影响 Gauss-Bonnet 重力?

首先,我们证明了 4 维共形平坦广义 Ricci 循环时空urn:x-wiley:00158208:media:prop202100088:prop202100088-math-0003是爱因斯坦流形。我们研究了这样一个时空作为引力骨灰盒:x-wiley:00158208:media:prop202100088:prop202100088-math-0004理论的解决方案,并且表明来自引力扇区修改的附加项可以表示为完美流体。用骨灰盒:x-wiley:00158208:media:prop202100088:prop202100088-math-0005和研究了几个能量条件骨灰盒:x-wiley:00158208:media:prop202100088:prop202100088-math-0006。对于这两个模型,弱能量、零能量和主导能量条件都得到满足,而强能量条件被违反,这与最近的观测研究显示当前宇宙处于加速阶段非常吻合。
更新日期:2021-10-06
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