Massless field perturbations and gravitomagnetism in the Kerr-Taub-NUT spacetime

Abstract

A single master equation is given describing spin $s\le 2$ test fields that are gauge- and tetrad-invariant perturbations of the Kerr-Taub-NUT spacetime representing a source with mass $M$, gravitomagnetic monopole moment $-\ell$ and gravitomagnetic dipole moment (angular momentum) per unit mass $a$. This equation can be separated into its radial and angular parts. The behavior of the radial functions at infinity and near the horizon is studied and used to examine the influence of $\ell$ on the phenomenon of superradiance, while the angular equation leads to spin-weighted spheroidal harmonic solutions generalizing those of the Kerr spacetime. Finally the coupling between the spin of the perturbing field and the gravitomagnetic monopole moment is discussed.

11 pages RevTeX LaTeX format, no figures

References in corpus (4)

• Gravitomagnetism in the Kerr-Newman-Taub-NUT spacetime
• Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum
• Gravitational Microlensing in NUT Space
• Unified description of q-deformed harmonic oscillators

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• Rotating Spacetimes with Asymptotic Non-Flat Structure and the Gyromagnetic Ratio
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• Entropy Bound of Horizons for Accelerating, Rotating and Charged Plebanski-Demianski Black Hole
• Møller's energy of the Kerr-NUT Metric
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• The Radial Action from Probe Amplitudes to All Orders
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• The scalar angular Teukolsky equation and its solution for the Taub-NUT spacetime
• The generalized second law for Kerr-Taub-NUT black holes perturbed by test field
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