Plane waves in a relativistic homogeneous and isotropic elastic continuum

dc.creatorPolák, Vratko
dc.creatorBalek, Vladimír
dc.date2007-01-10
dc.date2007-09-06
dc.date.accessioned2026-07-07T11:43:08Z
dc.date.available2026-07-07T11:43:08Z
dc.descriptionPropagation 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.
dc.description12 pages, 1 figure; section 4 extended, minor changes elsewhere, author added
dc.identifierhttps://arxiv.org/abs/gr-qc/0701055
dc.identifierhttp://arxiv.org/abs/gr-qc/0701055
dc.identifierClass.Quant.Grav.25:045007,2008
dc.identifierdoi:10.1088/0264-9381/25/4/045007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201128
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titlePlane waves in a relativistic homogeneous and isotropic elastic continuum
dc.typetext

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