Nucleation of $^{(4)}R$ Brane Universes

TL;DR

This paper investigates the quantum nucleation of brane universes influenced by antisymmetric tensors, using canonical quantum methods and exploring cosmological implications of the model.

Contribution

It introduces a model for brane universe nucleation involving intrinsic curvature and employs Wheeler-DeWitt equation with instanton and WKB methods.

Findings

Calculated nucleation probabilities using instanton and WKB approaches.

Discussed cosmological implications of brane universe creation.

Presented a quantum mechanical framework for brane nucleation.

Abstract

The creation of brane universes induced by a totally antisymmetric tensor living in a fixed background spacetime is presented, where a term involving the intrinsic curvature of the brane is considered. A canonical quantum mechanical approach employing Wheeler-DeWitt equation is done. The probability nucleation for the brane is calculated taking into account both an instanton method and a WKB approximation. Some cosmological implications arose from the model are presented.