Tomaschitz, R. (1997). Linear gravitational waves and electromagnetic formalism in cosmology, International Journal of Theoretical Physics 36, 955-977, DOI: 10.1007/BF02435795
Abstract (SpringerLink, CDS, SAO/NASA ADS, Zbl 0870.53074)
The propagation of linear gravitational waves is studied in open and multiply connected Robertson-Walker cosmologies. In order for the group velocity of the gravitational wave packets to coincide with the speed of light, the linear wave equation must be conformally coupled. This opens the possibility of using electromagnetic formalism. The gravitational analogue to the electromagnetic field tensor is introduced, and a tensorial counterpart to Maxwell's equations on the spacelike 3-slices is derived. The energy-momentum tensor for linear gravitational waves is constructed without averaging procedures, a strictly positive energy density is obtained, and it is shown that the overall energy of a gravitational pulse scales with the inverse of the expansion factor.
Zbl
0870.53074
Tomaschitz, Roman
Linear gravitational waves and electrodynamic formalism in cosmology
[J] Int.
J. Theor. Phys. 36, No.4, 955-977 (1997). ISSN 0020-7748; ISSN
1572-9575
MSC 2000:
*53Z05
Appl. of differential geometry to physics
83C35 Gravitational waves
83F05 Relativistic cosmology
Keywords: propagation of linear gravitational waves; Robertson-Walker cosmologies
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Title: |
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Linear gravitational waves and electrodynamic formalism in cosmology. |
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Authors: |
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Tomaschitz, R. |
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Int. J. Theor. Phys., Vol. 36, No. 4, p. 955 - 971 |
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04/1997 |
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ARI Keywords: |
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Gravitational Radiation: Propagation, Cosmology: Robertson-Walker Metric |
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description: Roman Tomaschitz (1997) Linear gravitational waves and electromagnetic formalism in cosmology, International Journal of Theoretical Physics 36, 955.
Keywords: open Robertson–Walker cosmology, multiply connected hyperbolic 3-space, constant negative curvature, linear wave equation for gravitational waves, tensorial Maxwell equations, gauge conditions, Lagrangian and energy–momentum tensor for linear gravitational waves, energy of a gravitational pulse, space expansion and conformal time scaling, positivity of energy, spectral decomposition of linear gravitational waves on open hyperbolic 3-manifolds, completeness and orthogonality relations, automorphic tensor fields, tensorial Poincaré series and point-pair invariants, spin operators on hyperbolic 3-manifolds, horospherical wave fronts, Poisson kernel, Möbius transformations in the Poincaré half-space
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