TL;DR
This paper explores how modifications to General Relativity, such as Gravity's Rainbow and Hořava-Lifshitz gravity, affect the Wheeler-DeWitt equation in quantum cosmology, aiming to compute observables like the cosmological constant.
Contribution
It introduces a framework for analyzing distorted Wheeler-DeWitt equations within various modified gravity theories using the Mini-Superspace approach.
Findings
Modified gravity theories alter the Wheeler-DeWitt equation structure.
Potential to compute cosmological observables in quantum gravity models.
Provides insights into quantum cosmology with non-standard gravity modifications.
Abstract
The Wheeler-DeWitt Equation represents a tool to study Quantum Gravity and Quantum Cosmology. Its solution in a very general context is, of course, impossible. To this purpose we consider some distortions of General Relativity like Gravity's Rainbow, Varying Speed of Light Cosmology, Generalized Uncertainty Principle deformations and Ho\v{r}ava-Lifshitz gravity which could allow the calculation of some observables like the cosmological constant. For simplicity we consider only the Mini-Superspace approach related to a Friedmann-Lema\^itre-Robertson-Walker space-time.
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