2007/08/28 by Christian G. Boehmer, Christian G. Böhmer, Tiberiu Harko +1 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Dark energy #Energy condition #Equation of state #Exact solutions in general relativity #Exotic matter #General relativity #Geodesic #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Metric expansion of space #Phantom energy #Physics #Quantum mechanics #Solar and Space Plasma Dynamics #Symmetry (geometry) #Tensor (intrinsic definition) #Wormhole #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.76.084014
published as Phys.Rev.D76:084014,2007 · 8 pages, 1 figure, references added; minor changes, accepted for publication in PRD
arxiv created 2007/08/28 · openalex publication_date 2007/10/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a nonstatic conformal symmetry, which presents a more systematic approach in searching for exact wormhole solutions. In this work, a wide variety of solutions are deduced by considering choices for the form function, a specific linear equation of state relating the energy density and the pressure anisotropy, and various phantom wormhole geometries are explored. A large class of solutions impose that the spatial distribution of the exotic matter is restricted to the throat neighborhood, with a cutoff of the stress-energy tensor at a finite junction interface, although asymptotically flat exact solutions are also found. Using the ``volume integral quantifier,'' it is found that the conformally symmetric phantom wormhole geometries may, in principle, be constructed by infinitesimally small amounts of averaged null energy condition violating matter. Considering the tidal acceleration traversability conditions for the phantom wormhole geometry, specific wormhole dimensions and the traversal velocity are also deduced.