Geodesic Nucleation and Evolution of a de Sitter Brane

TL;DR

This paper explores how geodesic brane evolution in a modified gravity framework is driven by a Higgs potential, leading to a de Sitter brane with specific symmetry and boundary conditions.

Contribution

It demonstrates that brane nucleation and evolution are governed by a double-well Higgs potential within Geodesic Brane Gravity, contrasting with the traditional cosmological constant approach.

Findings

De Sitter brane evolution driven by Higgs potential.

Horizon as locus of unbroken Z2 symmetry.

Finiteness of total energy density selects the no-boundary proposal.

Abstract

Within the framework of Geodesic Brane Gravity, the deviation from General Relativity is parameterized by the conserved bulk energy. The corresponding geodesic evolution/nucleation of a de-Sitter brane is shown to be exclusively driven by a double-well Higgs potential, rather than by a plain cosmological constant. The (hairy) horizon serves then as the locus of unbroken $Z_{2}$ symmetry. The quartic structure of the scalar potential, singled out on finiteness grounds of the total (including the dark component) energy density, chooses the Hartle-Hawking no-boundary proposal.