A quantum cosmological model in Ho\v{r}ava-Lifshitz gravity
O. Obreg\'on, J. A. Preciado (Guanajuato U.)
TL;DR
This paper derives and analyzes a Wheeler-DeWitt equation for a Kantowski-Sachs cosmological model within Hořava-Lifshitz gravity, revealing a role reversal of minisuperspace variables in the ultraviolet limit.
Contribution
It introduces a quantum cosmological model in Hořava-Lifshitz gravity and explores its ultraviolet behavior at the relativistic value of lambda.
Findings
Minisuperspace variables switch roles in the ultraviolet limit
Solution behavior differs from classical General Relativity
Provides insights into quantum effects in Hořava-Lifshitz gravity
Abstract
A Wheeler-DeWitt equation for the Kantowski-Sachs model is derived within the framework of the minimal quantum gravity theory proposed by Ho\v{r}ava. We study the solution to this equation in the ultraviolet limit for the specific case where the {\lambda} parameter of the theory takes its relativistic value {\lambda} = 1. It is observed that the minisuperspace variables switch their role compared with their usual infrared (General Relativity) behavior.
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