A quantum cosmological model in Hořava-Lifshitz gravity

Mathematics – Mathematical Physics

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Relativity, Lagrangian Field Theory, Quantization, Cosmology, Relativity And Gravitation, Canonical Formalism, Lagrangians, And Variational Principles, Canonical Quantization, Observational Cosmology

Scientific paper

A Wheeler-DeWitt equation for the Kantowski-Sachs model is derived within the framework of the minimal quantum gravity theory proposed by Hořava. We study the solution to this equation in the ultraviolet limit for the specific case where the λ parameter of the theory takes its relativistic value λ = 1. It is observed that the minisuperspace variables switch their role compared with their usual infrared (General Relativity) behavior.

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