Bounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes

Details Bounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes Bounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes

2007-01-16

arxiv.org/abs/gr-qc/0701085v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 5 figures. Numerous small corrections. Added three figures and an appendix on toroidal coordinates. Submitted to Gen

Scientific paper

A transitional layer matching the asymptotically flat exterior of a charged, massive toroidal body to an interior with spatially cylindrical symmetry is described. The changes in the geometry, which by themselves would require an energy tensor violating the energy conditions of classical general relativity, are compensated for by an additional strong electric field. Part of its gradient is consumed, depending on how much the exterior toroid departs from local cylindrical symmetry; what is left over can be used to effect further transitions in the cylindrical interior. An example is given of such a transition creating an angular deficit, allowing an otherwise infinite cosmic string to be captured within a bounded source.

Affiliated with

Also associated with

No associations

Rating

Bounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounded, asymptotically flat toroidal exteriors for cylindrically symmetric spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-188734