On asymmetric brane creation

TL;DR

This paper classifies and analyzes asymmetric brane instanton solutions in a 5D Einstein bulk, exploring their Euclidean actions and implications for quantum gravity and brane cosmology.

Contribution

It provides a comprehensive classification of asymmetric brane instantons and evaluates their Euclidean actions within the DGP model framework.

Findings

Calculated Euclidean actions for various instantons.

Compared actions of different brane configurations with asymmetric bulks.

Analyzed the impact of bulk asymmetry on brane instanton solutions.

Abstract

We exhaust the brane instanton solutions---an Einstein brane inhabiting at different positions in a 5-dimensional Einstein bulk with negative curvature. We construct a brane instanton model consisting of a brane with asymmetric bulk along two sides of the brane. And the junction condition of the resulting space-time is analyzed in the frame of induced gravity (DGP model). In spirits of quantum gravity of path integral formulism we calculate the Euclidean actions on three canonical paths and then compare the Euclidean actions of different instantons per unit 4-volume. We also compare the Euclidean actions per unit 4-volume of instantons, which consist of a brane gluing to a fixed half, with other Euclidean actions of halves possessing different cosmological constants.