Chern-Simons modified gravity and closed time-like curves

Abstract

We verify the consistency of the Gödel-type solutions within the four-dimensional Chern-Simons modified gravity with the non-dynamical Chern-Simons coefficient, for different forms of matter including dust, fluid, scalar field and electromagnetic field, and the related causality issues. Unlike the general relativity, the vacuum solution turns out to be possible in our theory. Another essentially new result of our theory having no analogue in the general relativity consists in the existence of the hyperbolic causal solutions for the physically well-motivated matter.

16 pages, version accepted to PRD

References in corpus (8)

• Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• How do Black Holes Spin in Chern-Simons Modified Gravity?
• Gödel-type universes in f(R) gravity
• Lorentz violation and the proper-time method
• Gödel-type universes in Palatini f(R) gravity
• The Gödel solution in the modified gravity
• On the ambiguities in the effective action in Lorentz-violating gravity

Cited by in corpus (18)

• Vacuum solution within a metric-affine bumblebee gravity
• An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
• Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity
• Gravitational traces of bumblebee gravity in metric-affine formalism
• Thermodynamics of massless particles in curved spacetime
• On the causality aspects of the dynamical Chern-Simons modified gravity
• Violation of causality in $f(T)$ gravity
• Gödel-type solutions within the f(R,Q) gravity
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Induced gravitational topological term and the Einstein-Cartan modified theory
• First-order perturbations of Gödel-type metrics in non-dynamical Chern-Simons modified gravity
• Godel Metrics with Chronology Protection in Horndeski Gravities
• On the causality properties in non-local gravity theories
• Gödel-type solutions within the $f(R,Q,P)$ gravity
• Slow-rotating black holes with potential in dynamical Chern-Simons modified gravitational theory
• Gödel-type Solutions in Cubic Galileon Gravity
• Slow Kerr-NUT black hole solution in dynamical Chern-Simons modified gravity
• Generalized Chern-Pontryagin models