2003/02/28 by E. R. Bezerra de Mello, Eugenio R. Bezerra de Mello, Yves Brihaye +1
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #De Sitter space #De Sitter universe #Galaxies: Formation, Evolution, Phenomena #Geometry #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Physics #Quantum mechanics #Singularity #Space (punctuation) #String (physics) #Theoretical physics #Universe #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.67.124008
published as Phys.Rev. D67 (2003) 124008 · 11 Revtex-pages including 5 ps-figures; v1: typos corrected, note added; v2: minor changes in conclusions
arxiv created 2003/04/04 · openalex publication_date 2003/06/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study both global as well as local (Nielsen-Olesen) strings in de Sitter space. While these types of topological defects have been studied in the background of a de Sitter metric previously, we study here the full set of coupled equations. We find only ``closed'' solutions. The behavior of the metric tensor of these solutions resembles that of ``supermassive'' strings with a curvature singularity at the cosmological horizon. For global strings (and the composite defect) we are able to construct solutions which are regular on the interval from the origin to the cosmological horizon if the global string core lies completely inside the horizon.