Classical and quantum Bianchi type III vacuum Hořava-Lifshitz cosmology

DOI10.1016/j.geomphys.2012.09.005zbMath1257.83032arXiv1112.0903OpenAlexW2081998824MaRDI QIDQ694783

N. Dimakis, Theodosios Christodoulakis

Publication date: 13 December 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0903

zbMATH Keywords

automorphismsBianchi typesHořava-Lifshitz gravityEuclidean-neutral signatureLie-point symmetries

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (4)

Generalized uncertainty principle effects in the Hořava-Lifshitz quantum theory of gravity ⋮ Classical and quantum Hořava-Lifshitz cosmology in a minisuperspace perspective ⋮ Hořava-Lifshitz scalar field cosmology: classical and quantum viewpoints ⋮ A phase space description of the FLRW quantum cosmology in Hořava-Lifshitz type gravity

Cites Work

• Unnamed Item
• Hořava-Lifshitz cosmology
• The general solution of Bianchi type VII\(_h\) vacuum cosmology
• Bianchi type II, III and V diagonal Einstein metrics re-visited
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• Time-dependent automorphism inducing diffeomorphisms in vacuum Bianchi cosmologies and the complete closed form solutions for types II and V
• Locally homogeneous spaces, induced Killing vector fields and applications to Bianchi prototypes
• Hořava–Lifshitz cosmology: a review
• The general solution of Bianchi type III vacuum cosmology
• Automorphisms and a cartography of the solution space for vacuum Bianchi cosmologies: The Type III case
• Perturbative instabilities in Hořava gravity
• Intrinsic isometry groups in general relativity
• Exact Solutions of Einstein's Field Equations
• Lie algebra automorphisms as Lie-point symmetries and the solution space for Bianchi type I, II, IV, V vacuum geometries
• Lorentzian spacetimes with constant curvature invariants in four dimensions

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