论文标题

$ f(r,t,r_ {μν} t^{μν} $)重力的Gödel-type解决方案

Gödel-type solutions in $f(R,T,R_{μν} T^{μν}$) gravity

论文作者

Gonçalves, J. S., Santos, A. F.

论文摘要

在本文中,考虑了$ f(r,t,r_ {μν} t^{μν} $)重力。这是一种改良的重力理论,表现出强力和物质场的强烈耦合。因此,如果重力受该模型的约束,则必须重新检查许多问题。在这种情况下,研究了因果关系及其违规问题。使用Gödel型溶液进行此类分析。结果表明,该模型允许因果关系和非因果解决方案。这些解决方案直接取决于宇宙中存在的物质内容。对于非毒物解决方案,计算了临界半径,超出了因果关系。采用不同的物质内容,出现了无限的临界半径,导致因果溶液。在这个因果解决方案中,确定所考虑的问题的参数之间出现了自然关系。

In this paper, $f(R,T,R_{μν} T^{μν}$) gravity is considered. It is a modified theory of gravity that exhibits a strong coupling of gravitational and matter fields. Therefore, if gravity is governed by this model a number of issues must be re-examined. In this context, the question of causality and its violation is studied. Such analysis is carried out using the Gödel-type solutions. It is shown that this model allows both causal and non-causal solutions. These solutions depend directly on the content of matter present in the universe. For the non-causal solution, a critical radius is calculated, beyond which causality is violated. Taking different matter contents, an infinite critical radius emerges that leads to a causal solution. In this causal solution, a natural relationship emerges between the parameters that determine the matter considered.

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