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  On the propagation of jump discontinuities in relativistic cosmology

van Elst, H., Ellis, G. F. R., & Schmidt, B. G. (2000). On the propagation of jump discontinuities in relativistic cosmology. Physical Review D, 62(10): 104023.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-56EF-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-56F0-D
Genre: Journal Article

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3212.pdf (Preprint), 316KB
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 Creators:
van Elst, Henk, Author
Ellis, George F. R., Author
Schmidt, Bernd G.1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: A recent dynamical formulation at a derivative level partial derivative (3)g for fluid spacetime geometries (M,g,u), that employs the concept of evolution systems in a first-order symmetric hyperbolic format, implies the existence in the Weyl curvature branch of a set of timelike characteristic three-surfaces associated with the propagation speed upsilon = 1/2 relative to fluid-comoving observers. We show it is a physical role of the constraint equations to prevent realization of jump discontinuities in the derivatives of the related initial data so that Weyl curvature modes propagating along these three-surfaces cannot be activated. In addition we introduce a new, illustrative first-order symmetric hyperbolic evolution system at a derivative level partial derivative (2)g for baryotropic perfect fluid cosmological models that are invariant under the transformation of an Abelian G(2) isometry group.

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Language(s): eng - English
 Dates: 2000-11-15
 Publication Status: Published in print
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 Identifiers: eDoc: 3212
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 62 (10) Sequence Number: 104023 Start / End Page: - Identifier: -