Global monopole as dual-vacuum solution in Kaluza-Klein spacetime

Details Global monopole as dual-vacuum solution in Kaluza-Klein spacetime Global monopole as dual-vacuum solution in Kaluza-Klein spacetime

1999-09-21

arxiv.org/abs/gr-qc/9909064v1

Mod.Phys.Lett. A14 (1999) 2721-2726

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTEX version

Scientific paper

10.1142/S0217732399002868

By application of the duality transformation, which implies interchange of active and passive electric parts of the Riemann curvature (equivalent to interchange of Ricci and Einstein tensors) it is shown that the global monopole solution in the Kaluza-Klein spacetime is dual to the corresponding vacuum solution. Further we also obtain solution dual to flat space which would in general describe a massive global monopole in 4-dimensional Euclidean space and would have massless limit analogus to the 4-dimensional dual-flat solution.

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