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Gravitational and acoustic waves in an elastic medium

B. Carter

H. Quintana*,†

  • Observatoire de Paris, 92 Meudon, France

  • National Radio Astronomy Observatory, Green Bank, West Virginia 24944

  • *Part of this work was done when one of the authors (H.Q.) was a Fellow at the European Southern Observatory, CERN, 1211 Geneva 23, Switzerland.
  • †The National Radio Astronomy Observatory is operated by Associated Universities, Inc., under contract with the National Science Foundation.
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Phys. Rev. D 16, 2928 – Published 15 November, 1977

DOI: https://doi.org/10.1103/PhysRevD.16.2928

Abstract

Relativistic equations governing perturbations of an elastic medium under the influence of gravitational waves are derived firstly in a gauge-independent way in terms of relative strains, and secondly in terms of gauge-dependent displacements. The derivations are based on the exact nonlinear theory of elasticity in conjunction with Einstein's theory of gravity, and hence are applicable to the solid crusts and cores of neutron stars. It is shown that in the approximately Minkowskian weak-field limit the equations reduce to those derived by previous workers for application in terrestrial contexts such as the detection of gravitational waves by a Weber bar.

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Phys. Rev. D 16, 2928– Published 15 November, 1977
  • Received 18 July 1977

© 1977 American Physical Society

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