Scalar and spinor perturbation to the most generalised Kerr-NUT space-time

Details Scalar and spinor perturbation to the most generalised Kerr-NUT space-time Scalar and spinor perturbation to the most generalised Kerr-NUT space-time

2004-01-22

arxiv.org/abs/gr-qc/0401094v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 latex pages including 1 figure; to appear in the proceedings of X Marcel Grossmann Meeting, Rio de Janeiro, 20-26 July 2003;

Scientific paper

We study the scalar and spinor perturbation to Kerr-NUT space-time, that is, Klein-Gordan and Dirac equation therein. The equations are invariant under duality transformation between the gravitational electric (M) and magnetic (l) charge, radial and angular coordinate, and radial and angular component of the field. We solve the equations separating into radial and angular parts. Moreover, if sets of Klein-Gordan and Dirac equation and corresponding solutions are known for Kerr space-time, under duality transformation, those in dual Kerr space-time are shown to be achieved. A few examples of solution are shown. We comment about the horizon and singularity conditions.

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