Gödel solution in $f(R,T)$ gravity

Abstract

In this paper we study Gödel universe in the framework of $f(R,T)$ modified theories of gravity, where $R$ is the curvature scalar and $T$ the trace of the energy momentum tensor. We demonstrate that Gödel solution occurs in this modified theory and still we suggest a path to understanding the smallness of the cosmological constant.

7 pages; to appear in Mod. Phys. Lett. A

References in corpus (5)

• f(R,T) gravity
• f(R,L_m) gravity
• Testing some f(R,T) gravity models from energy conditions
• A Lagrangian description of interacting dark energy
• A study on the interacting Ricci dark energy in $f(R,T)$ gravity

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• Cosmological viable f(R,T) dark energy model: dynamics and stability
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Existence of stable wormholes on a noncommutative-geometric background in modified gravity
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• LRS Bianchi type-I cosmological model with constant deceleration parameter in $f(R,T)$ gravity
• Gödel and Gödel-type universes in Brans-Dicke theory
• Cylindrically Symmetric Solutions in $f(R,T)$ Gravity
• Gödel-type universes in bumblebee gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• Gödel-type solutions within the f(R,Q) gravity
• On Non-Commutative Correction of the Gödel-type Metric
• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory
• Scalar and Electromagnetic Quasinormal modes of Extended black hole in F(R) gravity
• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity