New approach to solution generation using SL(2, R) duality of a dimensionally reduced space in five-dimensional minimal supergravity and new black holes

作者：Mizoguchi Shun'ya^*; Tomizawa Shinya

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2011, 84(10): 104009.

DOI：10.1103/PhysRevD.84.104009

The dimensional reduction of (the bosonic sector of) five-dimensional minimal supergravity to four dimensions leads to a theory with a massless axion and a dilaton coupled to gravity and two U(1) gauge fields (one of which has Chern-Simons coupling), whose field equations have SL(2, R) invariance. Utilizing this SL(2,R)-duality, we provide a new formalism for solution generation. As an example, applying it to the Rasheed solutions, which are known to describe dyonic rotating black holes (from the four-dimensional point of view) of five-dimensional pure gravity, we obtain rotating Kaluza-Klein black hole solutions in five-dimensional minimal supergravity. We also show that the solutions have six charges: mass, angular momentum, Kaluza-Klein electric/magnetic charges and electric/magnetic charges of the Maxwell field, four of which are related by a constraint.

• 出版日期2011-11-3