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Static axisymmetric solutions with electric fields in low-energy string theory

Yi-Huan Wei1,2,3, Yuan-Zhong Zhang2 and Feng He3,4

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In this paper, we prove that all five-dimensional axisymmetric Kaluza–Klein spacetime solutions with electrostatic fields may also be those of low-energy string theory. From the class of TS-like solutions in Kaluza–Klein theory we obtain the corresponding class of solutions with electric dipoles in low-energy string theory, which are enlarged to solutions with electric charges under the SO(1, 1) transformation. We obtain the complete metric for the TS-like solution with δ = 1. Lastly, we give a discussion.


PACS

04.50.-h Higher-dimensional gravity and other theories of gravity

04.20.-q Classical general relativity

MSC

83Cxx General relativity

83E15 Kaluza-Klein and other higher-dimensional theories

Subjects

Gravitation and cosmology

Dates

Issue 24 (21 December 2002)

Received 22 May 2002, in final form 30 October 2002

Published 29 November 2002



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