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Bounded radial geodesics around a Kerr-Sen black hole

Paul A Blaga et al 2001 Class. Quantum Grav. 18 3893-3905   doi: 10.1088/0264-9381/18/18/308  Help

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Paul A Blaga1 and Cristina Blaga2
1 `Babes-Bolyai' University, Faculty of Mathematics and Computer Science, Department of Pure Mathematics, 1, Kogalniceanu Street, 3400 Cluj-Napoca, Romania
2 Astronomical Observatory, 19, Ciresilor Street, 3400 Cluj-Napoca, Romania
E-mail: pablaga@cs.ubbcluj.ro and cpblaga@math.ubbcluj.ro

Abstract. We examine the geodesics of the Kerr-Sen black hole solution, an exact solution describing a rotating, charged, axisymmetric black hole, discovered by Sen in 1992. We show that the geodesic Hamilton-Jacobi is separable both in the Einstein and the string frame and we perform a separation of variables. Then, using the integrals, we study the radial motion from the point of view of the existence of bounded geodesics and we show that there are situations which are specific to this kind of black hole. We also compute the area of the horizon in the two frames.

PACS number: 0470

Print publication: Issue 18 (21 September 2001)
Received 1 December 2000, in final form 2 July 2001
Published 5 September 2001

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