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

D. Bini, C. Cherubini, R. T. Jantzen, and B. Mashhoon
Phys. Rev. D 67, 084013 – Published 21 April 2003
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Abstract

A single master equation is given describing spin s<~2 test fields that are gauge- and tetrad-invariant perturbations of the Kerr-Taub-NUT (Newman-Unti-Tamburino) spacetime representing a source with a mass M, gravitomagnetic monopole moment l, 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 l 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.

  • Received 6 December 2002

DOI:https://doi.org/10.1103/PhysRevD.67.084013

©2003 American Physical Society

Authors & Affiliations

D. Bini*

  • Istituto per le Applicazioni del Calcolo “M. Picone,” CNR I-00161 Rome, Italy
  • International Center for Relativistic Astrophysics (ICRA), University of Rome “La Sapienza,” I-00185 Rome, Italy

C. Cherubini

  • Dipartimento di Fisica “E. R. Caianiello,” Università di Salerno, I-84081, Italy
  • International Center for Relativistic Astrophysics (ICRA), University of Rome “La Sapienza,” I-00185 Rome, Italy
  • Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 2EG, England

R. T. Jantzen

  • Department of Mathematical Sciences, Villanova University, Villanova, Pennsylvania 19085
  • International Center for Relativistic Astrophysics (ICRA), University of Rome “La Sapienza,” I-00185 Rome, Italy

B. Mashhoon§

  • Department of Physics and Astronomy, University of Missouri–Columbia, Columbia, Missouri 65211

  • *Electronic address: binid@icra.it
  • Electronic address: cherubini@icra.it
  • Electronic address: robert.jantzen@villanova.edu
  • §Electronic address: MashhoonB@missouri.edu

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Vol. 67, Iss. 8 — 15 April 2003

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