On 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 ${\varphi }^4$ 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 Pöschl-Teller potentials

arXiv comment31 pages, version accepted for publication in PRD

References in corpus (25)

• Dilaton Gravity in Two Dimensions
• Two-Dimensional Gravity and Nonlinear Gauge Theory
• New Global Defect Structures
• The $D\to 2$ Limit of General Relativity
• Riccati equation, Factorization Method and Shape Invariance
• General Form of Dilaton Gravity and Nonlinear Gauge Theory
• Kinks in a non-linear massive sigma model
• Cosmic string loop shapes
• Generalized Zeta Functions and One-loop Corrections to Quantum Kink Masses
• One-loop correction to classical masses of quantum kink families
• Gauge Theories for Gravity on a Line
• Semi-classical mass of quantum k-component topological kinks
• Two Species of Vortices in a massive Gauged Non-linear Sigma Model
• Two-dimensional gravitation and Sine-Gordon-Solitons
• On a family of (1+1)-dimensional scalar field theory models: kinks, stability, one-loop mass shifts
• The Two-Dimensional Analogue of General Relativity
• Spontaneous Symmetry Breaking and Reflectionless Scattering Data
• Scalar fields: from domain walls to nanotubes and fulerenes
• BPS and non-BPS kinks in a massive non-linear S^2-sigma model
• The Geometrodynamics of Sine-Gordon Solitons
• Cosmology of the Jackiw-Teitelboim model
• From Supersymmetric Quantum Mechanics to Scalar Field Theories
• Information Theoretic Bounds on Cosmic String Detection in CMB Maps with Noise
• Kink solitons in DNA
• On the semiclassical mass of ${\mathbb{S}}^2$-kinks

Cited by in corpus (3)

• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• One-Dimensional Relativistic Self-Gravitating Systems
• Two species of semi-local cosmic strings in Abelian gauged ${\mathbb{CP}}^2$-sigma models coupled to gravity