Self-gravitating kinks in two-dimensional pseudo-Riemannian universes

Abstract

Two-dimensional scalar field theories with spontaneous symmetry breaking subject to the action of Jackiw-Teitelboim gravity are studied. Solutions for the φ 4 and sine-Gordon selfgravitating 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 Pöschl-Teller potentials.

Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability

“…To our knowledge, no such analysis was done before. In a recent work [48], the authors considered the linear perturbations around self-gravitating kink solutions in 2D MMSS gravity. However, they expand the metric around the Minkowski metric rather than the asymptotic AdS 2 metric solution.…”

Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability

“…In a recent work[47], the authors considered the linear perturbations around self-gravitating kink solutions in 2D MMSS gravity. However, they expand the metric around the Minkowski metric rather than the AdS2 metric solution.…”