Gödel-type solutions in $$f(R,T,R_{\mu \nu } T^{\mu \nu }$$ f ( R , T , R μ ν T μ ν ) gravity

Autor: J. S. Gonçalves, A. F. Santos
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 82, Iss 11, Pp 1-7 (2022)
Druh dokumentu: article
ISSN: 1434-6052
DOI: 10.1140/epjc/s10052-022-10950-5
Popis: Abstract In this paper, $$f(R,T,R_{\mu \nu } T^{\mu \nu }$$ f ( R , T , R μ ν T μ ν ) 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.
Databáze: Directory of Open Access Journals
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