Symmetries of spacetime and their relation to initial value problems

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We consider covariant metric theories of coupled gravity-matter systems satisfying the following two conditions: first, it is assumed that, by a hyperbolic reduction process, a system of first-order symmetric hyperbolic partial differential equations can be deduced from the matter field equations. Second, gravity is supposed to be coupled to the matter fields by requiring that the Ricci tensor is a smooth function of the basic matter field variables and the metric. It is shown then that the 'time' evolution of these types of gravity-matter systems preserves the symmetries of initial data specifications.

Original languageEnglish
Pages (from-to)5103-5113
Number of pages11
JournalClassical and Quantum Gravity
Volume18
Issue number23
DOIs
Publication statusPublished - Dec 7 2001

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boundary value problems
symmetry
gravitation
hyperbolic differential equations
partial differential equations
specifications
tensors

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Symmetries of spacetime and their relation to initial value problems. / Rácz, I.

In: Classical and Quantum Gravity, Vol. 18, No. 23, 07.12.2001, p. 5103-5113.

Research output: Contribution to journalArticle

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