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  Exploring the Conformal Constraint Equations

Butscher, A. (2002). Exploring the Conformal Constraint Equations. In J. Frauendiener, & H. Friedrich (Eds.), The conformal structure of space time: geometry, analysis, numerics (pp. 195-222). Berlin [u.a.]: Springer.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-554C-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-554D-B
Genre: Book Chapter

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 Creators:
Butscher, Adrian1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: One method of studying the asymptotic structure of spacetime is to apply Penrose's conformal rescaling technique. In this setting, the Einstein equations for the metric and the conformal factor in the unphysical spacetime degenerate where the conformal factor vanishes, namely at the boundary representing null infinity. This problem can be avoided by means of a technique of H. Friedrich, which replaces the Einstein equations in the unphysical spacetime by an equivalent system of equations which is regular at the boundary. The initial value problem for these equations produces a system of constraint equations known as the conformal constraint equations. This work describes some of the properties of the conformal constraint equations and develops a perturbative method of generating solutions near flat space under certain simplifying assumptions

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Language(s): eng - English
 Dates: 2002
 Publication Status: Published in print
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 Identifiers: eDoc: 3536
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Title: The conformal structure of space time: geometry, analysis, numerics
Source Genre: Book
 Creator(s):
Frauendiener, Jörg, Editor
Friedrich, Helmut1, Editor            
Affiliations:
1 Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012            
Publ. Info: Berlin [u.a.] : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 195 - 222 Identifier: -

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Title: Lecture notes in physics
Source Genre: Series
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Pages: - Volume / Issue: 604 Sequence Number: - Start / End Page: - Identifier: -