Ricci逆引力:一种新的替代引力,它的缺陷,以及如何治愈它们
Ricci-inverse gravity: a novel alternative gravity, its flaws, and how to cure them
摘要:
我们介绍了一种新的引力理论的基础上逆的里奇张量,我们称之为反曲率张量。我们导出了曲率标量和反曲率标量的任意拉格朗日函数的一般运动方程。然后,我们证明了一个不去定理:没有拉格朗日,包含在任何积极或消极的权力的反曲率标量的线性项可以驱动从减速到加速的演变,所需的观测。这有效地排除了这个理论的许多实现,正如我们在一个特定情况下详细说明的那样。最后,我们推测如何规避不去定理。
英文摘要:
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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