Conformally symmetric traversable wormholes
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 stressenergy 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.
 Publication:

Physical Review D
 Pub Date:
 October 2007
 DOI:
 10.1103/PhysRevD.76.084014
 arXiv:
 arXiv:0708.1537
 Bibcode:
 2007PhRvD..76h4014B
 Keywords:

 04.50.+h;
 04.20.Gz;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Spacetime topology causal structure spinor structure;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Theory
 EPrint:
 8 pages, 1 figure, references added