https://doi.org/10.1140/epjc/s10052-022-10950-5
Regular Article - Theoretical Physics
Gödel-type solutions in
) gravity
Instituto de Física, Universidade Federal de Mato Grosso, 78060-900, Cuiabá, Mato Grosso, Brazil
b
alesandroferreira@fisica.ufmt.br
Received:
28
September
2022
Accepted:
23
October
2022
Published online:
1
November
2022
In this paper, ) 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.
© The Author(s) 2022
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