Conformally symmetric traversable wormholes

Abstract

Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} 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 cut-off 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.

8 pages, 1 figure, references added; minor changes, accepted for publication in PRD

References in corpus (5)

• Stability of Chaplygin gas thin-shell wormholes
• Brans-Dicke wormholes in the Jordan and Einstein frames
• A general class of braneworld wormholes
• Self sustained phantom wormholes in semi-classical gravity
• General Relativistic Static Fluid Solutions with Cosmological Constant

Cited by in corpus (5)

• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• General class of wormhole geometries in conformal Weyl gravity
• Self-sustained traversable wormholes in noncommutative geometry
• Wormhole geometries with conformal motions