Plane waves in a relativistic homogeneous and isotropic elastic continuum

Details Plane waves in a relativistic homogeneous and isotropic elastic continuum Plane waves in a relativistic homogeneous and isotropic elastic continuum

2007-01-10

arxiv.org/abs/gr-qc/0701055v2

Class.Quant.Grav.25:045007,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 1 figure; section 4 extended, minor changes elsewhere, author added

Scientific paper

10.1088/0264-9381/25/4/045007

Propagation of gravitational and acoustic plane waves in a flat universe filled with a general relativistic, homogeneous and isotropic, spatially flat continuum is studied. The continuum is described by analogues of nonrelativistic characteristics, namely energy per particle, pressure and Lame coefficients, and considered in the comoving proper-time gauge. For all modes with the given wave covector, differential equations governing the time dependence of the amplitudes are derived. In particular, longitudinal acoustic waves are described, in analogy with the nonrelativistic theory, by two coupled first-order equations. As an example, plane waves in a stiff ultrarigid continuum are considered.

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