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  A WKB formalism for multicomponent fields and its application to gravitational and sound waves in perfect fluids

Ehlers, J., & Prasanna, A. R. (1996). A WKB formalism for multicomponent fields and its application to gravitational and sound waves in perfect fluids. Classical and Quantum Gravity, 13(8), 2231-2240. doi:10.1088/0264-9381/13/8/016.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B2F-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B30-8
Genre: Journal Article

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330095.pdf (Publisher version), 94KB
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 Creators:
Ehlers, Jürgen1, Author
Prasanna, A. R., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: We review the WKB method for multicomponent fields obeying hyperbolic linear partial differential equations and derive a general necessary and sufficient condition for the formalism to provide transport equations. We apply the method to linearized perturbations of perfect fluid solutions to Einstein's equation and show that the gravitational and sound wave modes satisfy this condition, whereas a zero-frequency, non-propagating matter mode does not. We derive the transport equations for the wave amplitudes in leading order; they exhibit in particular the influence of background curvature on the propagation of gravitational waves.

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 Dates: 1996-08
 Publication Status: Published in print
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 Identifiers: eDoc: 330095
DOI: 10.1088/0264-9381/13/8/016
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Title: Classical and Quantum Gravity
  Alternative Title : Class. Quantum Grav.
Source Genre: Journal
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Pages: - Volume / Issue: 13 (8) Sequence Number: - Start / End Page: 2231 - 2240 Identifier: ISSN: 0264-9381