Horava-Lifshitz gravity and Godel Universe

Abstract

We prove the consistency of the Gödel metric with the Horava-Lifshitz gravity whose action involves terms with z=1, z=2 and z=3. We show that, for different relations between the parameters of the theory, this consistency is achieved for different classes of matter, in particular, for the small cosmological constant it is achieved only for the exotic matter, that is, ghosts or phantom matter.

10 pages, version accepted to Physical Review D

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• Horava-Lifshitz Cosmology
• Solutions to Horava Gravity
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Towards constraining of the Horava-Lifshitz gravities
• Quasinormal modes of charged squashed Kaluza-Klein black holes in the Gödel Universe
• The Gödel solution in the modified gravity

Cited by in corpus (9)

• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• Thermodynamics of massless particles in curved spacetime
• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• Weyl fermions in a family of Gödel-type geometries with a topological defect
• Godel Metrics with Chronology Protection in Horndeski Gravities
• Considerations on the Graviton Excitation Modes of Horava-Lifshitz Gravity
• On the Energy-Momentum Flux in Gödel-type Models
• Weyl Fermions in a Linear Class of Gödel-Type Space-Time Backgrounds