Dynamics and stability of the Godel universe

Abstract

We use covariant techniques to describe the properties of the Godel universe and then consider its linear response to a variety of perturbations. Against matter aggregations, we find that the stability of the Godel model depends primarily upon the presence of gradients in the centrifugal energy, and secondarily on the equation of state of the fluid. The latter dictates the behaviour of the model when dealing with homogeneous perturbations. The vorticity of the perturbed Godel model is found to evolve as in almost-FRW spacetimes, with some additional directional effects due to shape distortions. We also consider gravitational-wave perturbations by investigating the evolution of the magnetic Weyl component. This tensor obeys a simple plane-wave equation, which argues for the neutral stability of the Godel model against linear gravity-wave distortions. The implications of the background rotation for scalar-field Godel cosmologies are also discussed.

Revised version, to match paper published in Class. Quantum Grav

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Cited by in corpus (25)

• The Existence of Godel, Einstein and de Sitter Universes
• Gödel-type universes in f(R) gravity
• Cosmology in three dimensions: steps towards the general solution
• Is the universe rotating?
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Gödel-type universes in Palatini f(R) gravity
• The Gödel solution in the modified gravity
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• Description for rotating $C_{60}$ fullerenes via Gödel-type metric
• Violation of causality in $f(T)$ gravity
• Homogeneous Gödel-type solutions in hybrid metric-Palatini gravity
• Vorticity survival in magnetised Friedmann universes
• Closed timelike geodesics in a gas of cosmic strings
• Stability of Closed Timelike Curves in Goedel Universe
• Energy-momentum and angular momentum of Goedel universes
• First-order perturbations of Gödel-type metrics in non-dynamical Chern-Simons modified gravity
• The lightcone of Gödel-like spacetimes
• Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time
• Rigidly Rotating Strange Quark Star
• Structure and stability of the Lukash plane-wave spacetime
• Nature of the vorticity in the Gödel spacetime
• Einstein-aether theory: Dynamics of relativistic particles with spin or polarization in a Gödel-type universe
• Casimir force in the Gödel space-time and its possible induced cosmological inhomogeneity
• Revisiting the Light Cone of the Goedel Universe
• Dynamics of the Universe with global rotation