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Perturbations on domain walls and strings: A covariant theory
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A covariant formalism is developed for describing perturbations on vacuum domain walls and strings. The treatment applies to arbitrary domain walls in (N+1)-dimensional flat spacetime, including the case of bubbles of a true vacuum nucleating in a false vacuum. Straight strings and planar walls in de Sitter space, as well as closed strings and walls nucleating during inflation, are also considered. Perturbations are represented by a scalar field defined on the unperturbed wall or string world sheet. In a number of interesting cases, this field has a tachyonic mass and a nonminimal coupling to the world-sheet curvature.
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GARRIGA TORRES, Jaume and VILENKIN, A. (Alexander). Perturbations on domain walls and strings: A covariant theory. Physical Review D. 1991. Vol. 44, num. 4, pags. 1007-1014. ISSN 0556-2821. [consulted: 27 of May of 2026]. Available at: https://hdl.handle.net/2445/12328