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Conformally symmetric traversable wormholes

Christian G. Böhmer*

Tiberiu Harko†

Francisco S. N. Lobo‡

  • Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 2EG, United Kingdom

  • Department of Physics and Center for Theoretical and Computational Physics, The University of Hong Kong, Pok Fu Lam Road, Hong Kong

  • Institute of Cosmology & Gravitation, University of Portsmouth, Portsmouth PO1 2EG, United Kingdom and Centro de Astronomia e Astrofísica da Universidade de Lisboa, Campo Grande, Ed. C8 1749-016 Lisboa, Portugal

  • *christian.boehmer@port.ac.uk
  • †harko@hkucc.hku.hk
  • ‡francisco.lobo@port.ac.uk
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Phys. Rev. D 76, 084014 – Published 17 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.084014

Abstract

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.

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Phys. Rev. D 76, 084014– Published 17 October, 2007
  • Received 9 August 2007

© 2007 American Physical Society

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