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Gravitational collapse of magnetic neutron stars

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Abstract

Pulsars are presently believed to be rotating neutron stars with frozen-in magnetic fields. Because of the high density of neutron stars, general relativistic effects are important since they effect both the structure and stability of such stars. Besides this, the magnetic field outside the star is also affected. Instead of falling of asr (2+l) as in flat space, it is shown that each magnetic multipole varies as a hypergeometric function of radius. A closed form of these hypergeometric functions is given in terms of Legendre functions of the second kind. If the mass of a neutron star exceeds about 2.4m ⊙, the star becomes unstable and coliapses. For a quasistatically collapsing body, it is shown that the magnetic field seen by a distant observer vanishes as the radius approaches the gravitational radius.

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Authors and Affiliations

  1. Stevens Institute of Technology, Hoboken, N.J., USA

    James L. Anderson

  2. Institute for Advanced Study, Princeton, N.J., USA

    Jeffrey M. Cohen

Authors
  1. James L. Anderson
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  2. Jeffrey M. Cohen
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This work was supported in part by the Air Force Office of Scientific Research, Office of Aerospace Research under AFOSR Grant 70-1866.

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Anderson, J.L., Cohen, J.M. Gravitational collapse of magnetic neutron stars. Astrophys Space Sci 9, 146–152 (1970). https://doi.org/10.1007/BF00649960

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  • DOI: https://doi.org/10.1007/BF00649960

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