2008/06/30 by José P. S. Lemos, Francisco S. N. Lobo · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Compactification (mathematics) #Computer science #Cosmological constant #Cosmology and Gravitation Theories #Geometry #Mathematics #Physics #Planar #Plane (geometry) #Pure mathematics #Quantum mechanics #Topology (electrical circuits) #Toroid #Wormhole #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.78.044030
published as Phys.Rev.D78:044030,2008 · 10 pages, 4 figures. V2: typo corrections and minor modifications
arxiv created 2008/08/13 · openalex publication_date 2008/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using the cut-and-paste procedure, we construct static and dynamic, plane symmetric wormholes by surgically grafting together two spacetimes of plane symmetric vacuum solutions with a negative cosmological constant. These plane symmetric wormholes can be interpreted as domain walls connecting different universes, having planar topology, and upon compactification of one or two coordinates, cylindrical topology or toroidal topology, respectively. A stability analysis is carried out for the dynamic case by taking into account specific equations of state, and a linearized stability analysis around static solutions is also explored. It is found that thin-shell wormholes made of a dark energy fluid or of a cosmological constant fluid are stable, while thin-shell wormholes made of phantom energy are unstable.