Locally Localized Gravity and Geometric Transitions

TL;DR

This paper investigates how gravity can be localized on a thick brane in an AdS space, revealing temperature-dependent effects and geometric phase transitions influenced by a bulk scalar field.

Contribution

It introduces a model of gravity localization on a thick brane with temperature effects and identifies critical temperatures for geometric transitions.

Findings

Gravity localization is favored below a critical temperature T_c.

A second critical temperature T_* induces geometric AdS/M/dS transitions.

Scalar field vev influences the emergence of a localized quasi-zero mode.

Abstract

In this paper we analyze the local localization of gravity in $AdS_4$ thick brane embedded in $AdS_5$ space. The 3-brane is modelled by domain wall solution of a theory with a bulk scalar field coupled to five-dimensional gravity. In addition to small four-dimensional cosmological constant, the vacuum expectation value (vev) of the scalar field controls the emergence of a localized four-dimensional quasi-zero mode. We introduce high temperature effects, and we show that gravity localization on a thick 3-brane is favored below a critical temperature $T_c$. These investigations suggest the appearance of another critical temperature $T_*,$ where the thick 3-brane engenders the geometric $AdS/M/dS$ transitions.