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Rotating magnetic solution in three dimensional Einstein gravity

Rotating magnetic solution in three dimensional Einstein gravity
Rotating magnetic solution in three dimensional Einstein gravity
We obtain the magnetic counterpart of the BTZ solution, i.e., the rotating spacetime of a point source generating a magnetic field in three dimensional Einstein gravity with a negative cosmological constant. The static (non-rotating) magnetic solution was found by Clément, by Hirschmann and Welch and by Cataldo and Salgado. This paper is an extension of their work in order to include (i) angular momentum, (ii) the definition of conserved quantities (this is possible since spacetime is asymptotically anti-de Sitter), (iii) upper bounds for the conserved quantities themselves, and (iv) a new interpretation for the magnetic field source. We show that both the static and rotating magnetic solutions have negative mass and that there is an upper bound for the intensity of the magnetic field source and for the value of the angular momentum. The magnetic field source can be interpreted not as a vortex but as being composed by a system of two symmetric and superposed electric charges, one of the electric charges is at rest and the other is spinning. The rotating magnetic solution reduces to the rotating uncharged BTZ solution when the magnetic field source vanishes.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
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) Rotating magnetic solution in three dimensional Einstein gravity. JHEP, 2002 (1), [006]. (doi:10.1088/1126-6708/2002/01/006).

Record type: Article

Abstract

We obtain the magnetic counterpart of the BTZ solution, i.e., the rotating spacetime of a point source generating a magnetic field in three dimensional Einstein gravity with a negative cosmological constant. The static (non-rotating) magnetic solution was found by Clément, by Hirschmann and Welch and by Cataldo and Salgado. This paper is an extension of their work in order to include (i) angular momentum, (ii) the definition of conserved quantities (this is possible since spacetime is asymptotically anti-de Sitter), (iii) upper bounds for the conserved quantities themselves, and (iv) a new interpretation for the magnetic field source. We show that both the static and rotating magnetic solutions have negative mass and that there is an upper bound for the intensity of the magnetic field source and for the value of the angular momentum. The magnetic field source can be interpreted not as a vortex but as being composed by a system of two symmetric and superposed electric charges, one of the electric charges is at rest and the other is spinning. The rotating magnetic solution reduces to the rotating uncharged BTZ solution when the magnetic field source vanishes.

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More information

Published date: 18 January 2002
Additional Information: Copyright: SISSA/ISAS 2002

Identifiers

Local EPrints ID: 468170
URI: http://eprints.soton.ac.uk/id/eprint/468170
PURE UUID: f065d503-1591-400f-86fb-a93218558b3d
ORCID for Oscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 04 Aug 2022 16:40
Last modified: 05 Aug 2022 01:46

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Contributors

Author: Oscar J.C. Dias ORCID iD
Author: Jose P.S. Lemos

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