On the Wheeler-DeWitt equation for Kasner-like Cosmologies
M. Maceda
TL;DR
This paper derives the Wheeler-DeWitt equation for Kasner-like cosmologies, presents solutions for various matter contents, and explores a non-commutative extension, advancing quantum cosmology models.
Contribution
It introduces the Wheeler-DeWitt equation specifically for Kasner-like cosmologies and provides solutions for different scenarios, including a non-commutative framework.
Findings
Solutions for empty space, cosmological constant, and scalar field cases
Extension to non-commutative geometry
Insights into quantum cosmology dynamics
Abstract
The Wheeler-DeWitt equation is obtained for Kasner-like cosmologies. Some solutions to this equation are presented for empty space, space filled with a cosmological constant and in the presence of a scalar field. We also briefly discuss a non-commutative extension of these results.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Applications · Cosmology and Gravitation Theories