English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

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

MPS-Authors

Ehlers,  Jürgen
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

330095.pdf
(Publisher version), 94KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5B2F-E
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.