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Schwarzschild electrodynamics: Black holes, neutron stars

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Abstract

We present a number of calculations involving the production and propagation of electromagnetic waves in the Schwarzschild metric. They are based on algorithms developed from the power series solutions of the Schwarzschild radial equation (Regge-Wheeler equation) of Arenstorf, Cohen and Kegeles. These include the scattering of electromagnetic plane waves from a Schwarzschild black hole where we find that previous approximate and numerical work is correct and extend those results to higher frequencies and multipolarities. Exact results for the absorption cross-section are presented. We calculate the power radiated from a radially vibrating neutron star and find that the radiation can be hyperemissive. For example, we find for a surface radius of 1.8 Schwarzschild radii the power radiated is enhanced by as much as factor of 3.7, 4.1, 5.1, for dipole, quadrupole and octupole radiation respectively, making electromagnetic radiation a more effective damping mechanism than in flat space. The Schwarzschild radial functions are extensively treated in the appendices and numerical results are presented for various frequencies and radii. A simple asymptotic expansion for one of the connection constants, appropriate for high frequency, is also given.

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Authors and Affiliations

  1. Physics Dept., University of Pennsylvania, Philadelphia, Pennsylvania, USA

    Michael W. Kearney & Jeffrey M. Cohen

  2. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada

    Lawrence S. Kegeles

  3. Courant Institute of Mathematical Sciences and Physics Dept., New York University, New York, USA

    Jeffrey M. Cohen

Authors
  1. Michael W. Kearney
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  2. Lawrence S. Kegeles
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  3. Jeffrey M. Cohen
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Additional information

Supported in part by NSF Grant PHY 77-28356.

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Kearney, M.W., Kegeles, L.S. & Cohen, J.M. Schwarzschild electrodynamics: Black holes, neutron stars. Astrophys Space Sci 56, 129–190 (1978). https://doi.org/10.1007/BF00643467

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  • DOI: https://doi.org/10.1007/BF00643467

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