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Pulsating stars in general relativity

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Abstract

The equation governing radial pulsations of fully relativistic stars is derived and expressed in terms of quantities which are continuous even across density discontinuities which occur, e.g., in zero-temperature stellar models that undergo electron capture. When expressed in terms of these quantities, the pulsation equation can be integrated through density discontinuities without any special treatment of these points being necessary. Expressions for the adiabatic index and pulsation energy are derived in a simple way.

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Authors and Affiliations

  1. The Institute for Advanced Study, 08540, Princeton, New Jersey

    Jeffrey M. Cohen

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  1. Jeffrey M. Cohen
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Additional information

Research sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force, under AFOSR Grant 70-1866.

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Cohen, J.M. Pulsating stars in general relativity. Int J Theor Phys 3, 267–281 (1970). https://doi.org/10.1007/BF00669754

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  • DOI: https://doi.org/10.1007/BF00669754

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