Dynamical Chern-Simons modified gravity, Godel Universe and variable cosmological constant

Abstract

We study the condition for the consistency of the Gödel metric with the dynamical Chern-Simons modified gravity. It turns out to be that this compatibility can be achieved only if the cosmological constant is variable in the space.

8 pages, references added

References in corpus (10)

• Chern-Simons Modified General Relativity
• The effects of Chern-Simons gravity on bodies orbiting the Earth
• How do Black Holes Spin in Chern-Simons Modified Gravity?
• Wormhole with varying cosmological constant
• Lorentz violation and the proper-time method
• Gödel-type universes in Palatini f(R) gravity
• Flat rotation curves in Chern-Simons modified gravity
• The Gödel solution in the modified gravity
• On the ambiguities in the effective action in Lorentz-violating gravity
• Scenarios of cosmic string with variable cosmological constant

Cited by in corpus (11)

• 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
• Gödel-type solutions within the f(R,Q) gravity
• Horava-Lifshitz gravity and Godel Universe
• On Non-Commutative Correction of the Gödel-type Metric
• Gödel and Gödel-type solutions in the Palatini $f(R,T)$ gravity theory
• Gödel-type solutions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu }$) gravity
• A study on causality in $f(R,\varphi ,X)$ theory
• On the Energy-Momentum Flux in Gödel-type Models
• Gödel-type solutions in hybrid metric-Palatini gravity