2002/12/27 by К. А. Бронников, K. A. Bronnikov, Sung-Won Kim · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Einstein #Einstein field equations #Energy condition #General relativity #Geometry #Gravitation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Scalar (mathematics) #Scalar field #Theoretical physics #Wormhole #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.67.064027
published as Phys.Rev. D67 (2003) 064027 · 7 pages, revtex4. Submitted to Phys. Rev. D
arxiv created 2002/12/27 · openalex publication_date 2003/03/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The condition R=0, where R is the four-dimensional scalar curvature, is used for obtaining a large class (with an arbitrary function of r) of static, spherically symmetric Lorentzian wormhole solutions. The wormholes are globally regular and traversable, can have throats of arbitrary size and can be both symmetric and asymmetric. These solutions may be treated as possible wormhole solutions in a brane world since they satisfy the vacuum Einstein equations on the brane where effective stress-energy is induced by interaction with the bulk gravitational field. Some particular examples are discussed.