论文标题

Ricci Inverse Reverity:一种新颖的替代性重力,其缺陷以及如何治愈它们

Ricci-inverse gravity: a novel alternative gravity, its flaws, and how to cure them

论文作者

Amendola, Luca, Giani, Leonardo, Laverda, Giorgio

论文摘要

我们介绍了一种基于Ricci张量的逆的重力理论,我们称为抗阴性张量。我们得出了曲率和抗阴性标量的任何拉格朗日功能的一般运动方程。然后,我们证明了一个无关的定理:不包含在抗展标量的任何正或负能力中线性的lagrangian可以按照观察结果驱动从减速到加速度的演变。正如我们在特定情况下详细说明的那样,这有效地排除了对该理论的许多认识。最后,我们推测如何规避无定理。

We introduce a novel theory of gravity based on the inverse of the Ricci tensor, that we call the anticurvature tensor. We derive the general equations of motion for any Lagrangian function of the curvature and anticurvature scalars. We then demonstrate a no-go theorem: no Lagrangian that contains terms linear in any positive or negative power of the anticurvature scalar can drive an evolution from deceleration to acceleration, as required by observations. This effectively rules out many realizations of this theory, as we illustrate in detail in a particular case. Finally, we speculate on how to circumvent the no-go theorem.

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