Domain Wall Spacetimes and Particle Motion

Abstract

We present a mathematical framework for generating thick domain wall solutions to the coupled Einstein-scalar field equations which are (locally) plane symmetric. This approach leads naturally to two broad classes of wall-like solutions. The two classes include all previously known thick domain walls. Although one of these classes is static and the other dynamic, the corresponding Einstein-scalar equations share the same mathematical structure independent of the assumption of any reflection symmetry. We also exhibit a class of thick static domain wall spacetimes with different asymptotic vacua. Our analyses of particle motion in such spacetimes raises the interesting possibility that static domain walls will possess a unique experimental signature.

30 pages, 13 figures

References in corpus (4)

• Supergravity Domain Walls
• Causality, randomness, and the microwave background
• Naked singularities in dilatonic domain wall space-times
• Anisotropic domain walls

Cited by in corpus (11)

• Fermion Localization and Resonances on A de Sitter Thick Brane
• Fermion localization on thick branes
• Thick domain wall spacetimes with and without reflection symmetry
• Localizing gravity on exotic thick 3-branes
• Bulk Matters on Symmetric and Asymmetric de Sitter Thick Branes
• Self-gravitating domain walls and the thin-wall limit
• De-Sitter and double asymmetric brane worlds
• Fermions localization on de Sitter branes
• Warped Brane worlds in Critical Gravity
• Symmetries of distributional domain wall geometries
• A Brane model with two asymptotic regions