On self-gravitating kinks in two-dimensional pseudo-riemannian universes

TL;DR

This paper investigates self-gravitating kink solutions in two-dimensional scalar field theories coupled with Jackiw-Teitelboim gravity, providing explicit solutions for $\

Contribution

It introduces explicit solutions for self-gravitating kinks in 2D scalar theories with gravity, including perturbative and hierarchical cases, expanding understanding of such configurations.

Findings

Explicit solutions for $\\phi^4$ and sine-Gordon kinks with gravity.

Analysis of solutions in both general and perturbative regimes.

Extension to hierarchical kinks related to P"{o}schl-Teller potentials.

Abstract

Two-dimensional scalar field theories with spontaneous symmetry breaking subject to the action of Jackiw-Teitelboim gravity are studied. Solutions for the $\phi^4$ and sine-Gordon self-gravitating kinks are presented, both for general gravitational coupling and in the perturbative regime. The analysis is extended to deal with a hierarchy of kinks related to transparent P\"{o}schl-Teller potentials