论文标题

f(t)重力中的比安奇身份:铺平了与天体物理对抗的方式

Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics

论文作者

Golovnev, Alexey, Guzman, Maria-Jose

论文摘要

$ f(t)$重力的理论正在积极面临宇宙学观察,并正在研究其解决著名宇宙学问题的潜力。一个必要的步骤是将这些研究扩展到天体物理环境。但是,为此,必须了解球形对称溶液的结构。我们表明,从洛伦兹 - 融合形式主义的角度来看,这些解决方案的两种已知方法实际上是完全等效的。此外,我们解释了$ f(t)$ gravity中的比安奇(Bianchi)身份,并将其应用它们表明相应的方程式始终兼容。它使这些努力比以前更加坚定。

Theories of $f(T)$ gravity are being actively confronted with cosmological observations, and are being studied for their potential to solve famous problems of cosmology. A necessary step is to extend these studies to astrophysical settings. However, to this end one must understand the structure of spherically symmetric solutions. We show that two different known approaches to these solutions are actually fully equivalent from the point of view of Lorentz-covariant formalism. Moreover, we explain Bianchi identities in $f(T)$ gravity and apply them to show that the corresponding equations are always compatible. It puts these efforts on much firmer grounds than before.

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