Magnetic strings in anti-de Sitter general relativity
Magnetic strings in anti-de Sitter general relativity
We obtain spacetimes generated by static and rotating magnetic string sources in Einstein relativity with negative cosmological constant (Λ > 0). Since the spacetime is asymptotically a cylindrical anti-de Sitter spacetime, we will be able to calculate the mass, momentum and electric charge of the solutions. We find two families of solutions, one with longitudinal magnetic field and the other with angular magnetic field. The source for the longitudinal magnetic field can be interpreted as composed of a system of two symmetric and superposed electrically charged lines with one of the electrically charged lines being at rest and the other spinning. The angular magnetic field solution can be similarly interpreted as composed of charged lines but now one is at rest and the other has a velocity along the axis. This solution cannot be extended down to the origin.
2265-2276
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
3 April 2002
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
Dias, Oscar J.C. and Lemos, Jose P.S.
(2002)
Magnetic strings in anti-de Sitter general relativity.
Classical and Quantum Gravity, 19 (8), .
(doi:10.1088/0264-9381/19/8/314).
Abstract
We obtain spacetimes generated by static and rotating magnetic string sources in Einstein relativity with negative cosmological constant (Λ > 0). Since the spacetime is asymptotically a cylindrical anti-de Sitter spacetime, we will be able to calculate the mass, momentum and electric charge of the solutions. We find two families of solutions, one with longitudinal magnetic field and the other with angular magnetic field. The source for the longitudinal magnetic field can be interpreted as composed of a system of two symmetric and superposed electrically charged lines with one of the electrically charged lines being at rest and the other spinning. The angular magnetic field solution can be similarly interpreted as composed of charged lines but now one is at rest and the other has a velocity along the axis. This solution cannot be extended down to the origin.
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Published date: 3 April 2002
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© 2002 IOP Publishing Ltd
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Local EPrints ID: 468169
URI: http://eprints.soton.ac.uk/id/eprint/468169
PURE UUID: 942bcfc7-aae6-4d84-b910-1f931b2c8838
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Date deposited: 04 Aug 2022 16:40
Last modified: 17 Mar 2024 03:35
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Author:
Jose P.S. Lemos
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