Quantum Cosmology in Thick Brane

TL;DR

This paper investigates quantum tunneling of thick branes in quantum cosmology by deriving the Wheeler-DeWitt equation and analyzing scalar field cases, supporting slow-roll inflation.

Contribution

It introduces a quantum cosmological model for thick branes using the Wheeler-DeWitt equation and explores scalar field effects on brane dynamics.

Findings

Quantum tunneling of thick branes is modeled via the Wheeler-DeWitt equation.

Scalar field analysis supports slow-roll inflation in the brane context.

The model provides a consistent quantum cosmological framework for thick branes.

Abstract

One of the interesting open problems in the cosmological framework is applying quantum physics to the whole universe, consistently. Although different conceptual aspects of quantum cosmology are still very much alive, till now, all the attempts of obtaining a unique and well-defined version of quantum cosmology have been unfeasible. Motivated by what was mentioned above, in this paper, the quantum tunneling of thick brane is investigated by deriving the Wheeler-DeWitt equation and corresponding solutions. Besides, the cosmological analysis of the brane is studied based on two special cases of the scalar field. Finally, it is found that the constant scalar potential arising from a time-dependent scalar field is supported by the so-called slow-roll inflation.