Magnetically charged solutions via an analogue of electric-magnetic duality in (2+1)-dimensional gravity theories

We find an analogue of the electric-magnetic duality, which is a Z(2) transformation between magnetic and electric sectors of the static and rotationally symmetric solutions in a class of (2+1)-dimensional Einstein-Maxwell-dilaton gravity theories. The theories in our consideration include, in particular, a one parameter class of theories continuously connecting the Banados-Teitelboim-Zanelli (BTZ) gravity and the low-energy string effective theory. When there is no U(1) charge, we have O(2) or O(1,1) symmetry, depending on a parameter that specifies each theory. Via the Z(2) transformation, we obtain exact magnetically charged solutions from the known electrically charged solutions. We explain the relationship between the Z(2) transformation and O(2,Z) symmetry, and comment on the T duality of the string theory.
Publisher
AMERICAN PHYSICAL SOC
Issue Date
1997-05
Language
ENG
Keywords

BLACK-HOLE; SPACE; GEOMETRY

Citation

PHYSICAL REVIEW D, v.55, no.10, pp.6112 - 6115

ISSN
0556-2821
DOI
10.1103/PhysRevD.55.6112
URI
http://hdl.handle.net/10203/73241
Appears in Collection
PH-Journal Papers(저널논문)
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