The Gödel solution in the modified gravity

Abstract

We consider the modified gravity whose action represents itself as a sum of the usual Einstein-Hilbert action and the gravitational Chern-Simons term and show that the Gödel metric solves the modified equations of motion, thus proving that the closed timelike curves whose presence is characteristic for the Gödel solution are not forbidden in the case of the Chern-Simons modified gravity as well.

8 pages, version published in Phys. Rev. D

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Cited by in corpus (25)

• Chern-Simons Modified General Relativity
• Gödel-type universes in f(R) gravity
• Explicit Integration of Friedmann's Equation with Nonlinear Equations of State
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Gödel and Gödel-type universes in Brans-Dicke theory
• Gödel-type universes in Palatini f(R) gravity
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• Gödel-type universes in bumblebee gravity
• Chern-Simons modified gravity and closed time-like curves
• On the causality aspects of the dynamical Chern-Simons modified gravity
• Weyl fermions in a family of Gödel-type geometries with a topological defect
• Gödel-type solutions within the f(R,Q) gravity
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Dynamical Chern-Simons modified gravity, Godel Universe and variable cosmological constant
• Horava-Lifshitz gravity and Godel Universe
• Black String and Gödel type Solutions of Chern-Simons Modified Gravity
• On Non-Commutative Correction of the Gödel-type Metric
• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory
• Einstein-aether theory: Dynamics of relativistic particles with spin or polarization in a Gödel-type universe
• A study on causality in $f(R,\varphi ,X)$ theory
• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity
• On the Energy-Momentum Flux in Gödel-type Models
• Weyl Fermions in a Linear Class of Gödel-Type Space-Time Backgrounds
• Gödel-type solutions in hybrid metric-Palatini gravity
• Generalized Chern-Pontryagin models