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

Abstract

In this paper, $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) 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.

13 pages, accepted for publication in EPJC

References in corpus (14)

• f(R,T) gravity
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Matter instability in modified gravity
• Curvature scalar instability in f(R) gravity
• Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
• Stability Analysis of Stellar Radiating Filaments
• Gödel-type universes in f(R) gravity
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• The Gödel solution in the modified gravity
• Quantum cosmology, minimal length and holography
• Gödel-type solutions within the f(R,Q) gravity
• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory
• A study on causality in $f(R,\varphi ,X)$ theory

Cited by in corpus (1)

• Coincident f(Q) gravity: black holes, regular black holes and black bounces