Christian G Böhmer et al 2008 Class. Quantum Grav. 25 075016 doi:10.1088/0264-9381/25/7/075016
Wormhole geometries with conformal motions
Christian G Böhmer1, Tiberiu Harko2 and Francisco S N Lobo3,4
Show affiliationsExact solutions of traversable wormholes were recently found under the assumption of spherical symmetry and the existence of a non-static conformal symmetry. In this paper, we verify that in the case of the conformally symmetric spacetimes with a non-static vector field generating the symmetry, the conformal factor ψ can be physically interpreted in terms of a measurable quantity, namely, the tangential velocity of a massive test particle moving in a stable circular orbit in the spacetime. Physical properties of the rotational velocity of test particles and of the redshift of radiation emitted by ultra-relativistic particles rotating around these hypothetical general relativistic objects are further discussed. Finally, specific characteristics and properties of gravitational bremsstrahlung emitted by charged particles in geodesic motion in conformally symmetric wormhole geometries are also explored.
- PACS
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02.40.Hw Classical differential geometry
04.20.Gz Spacetime topology, causal structure, spinor structure
- MSC
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53C22 Geodesics (See also 58E10)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 7 (7 April 2008)
Received 4 January 2008, in final form 13 February 2008
Published 18 March 2008
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Wormhole geometries with conformal motions
Christian G Böhmer et al 2008 Class. Quantum Grav. 25 075016
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