Newman-Janis method and rotating dilaton-axion black hole

It’s shown that the rotating dilaton-axion black hole solution can be obtained from GGHS static charged dilaton black hole solution via NewmanJanis method. PACS number(s): 02.30.Dk,04.20.Cv The low energy limit of the heterotic string theory gives an interesting generalization of Einstein-Maxwell theory the Einstein-Maxwell-dilaton axion gravity.The field equations of the Einstein-Maxwell-dilaton-axion gravity in four dimensions can be obtained from the following action [1],[2] A = − 1 16π ∫ dx √ −g ( R− 2∂μφ∂φ− 1 2 e∂μΘ∂ Θ+ eFμμF μν +ΘFμνF̃ μν ) (1) Here R is the Ricci scalar with respect to the space-time metric gμν(with a signature (+,−,−,−)), φ is the dilaton field, Fμν = (dA)μν and F̃μν are correspondingly the Maxwell tensor and its dual, the pseudo scalar Θ is related to the Kalb-Ramond field H through the relation H = 1 2 eε∂ρΘ. In last decade the string black holes attract much attention.The static spherically symmetric charged dilaton black hole was obtained by Gibbons [3] and independently by Garfinkle,Horowitz and Strominger [4].Using the string target space duality rotation Sen found the rotating dilaton-axion black hole solution generating it from Kerr solution [5]. It’s well-known that Kerr and Kerr-Newman solution in Einstein theory can be generated correspondingly from Schwarzschild and Reissner-Nordsrom solution ∗E-mail: [email protected]