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  On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations

Beyer, H., & Sarbach, O. (2004). On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura formulation of Einstein's field equations. Physial Review D, 70: 104004.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-518C-0 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-518D-E
Genre: Journal Article

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 Creators:
Beyer, Horst1, Author
Sarbach, Olivier, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Einstein's equations with gauge conditions given by a Bona-Masso like slicing condition for the lapse and a frozen shift. This is achieved by introducing extra variables and recasting the evolution equations into a first order symmetric hyperbolic system. We also consider the presence of artificial boundaries and derive a set of boundary conditions that guarantee that the resulting initial-boundary value problem is well posed, though not necessarily compatible with the constraints. In the case of dynamical gauge conditions for the lapse and shift we obtain a class of evolution equations which are strongly hyperbolic and so yield well posed initial value formulations.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Issued
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 Identifiers: eDoc: 204940
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Title: Physial Review D
Source Genre: Journal
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Pages: - Volume / Issue: 70 Sequence Number: 104004 Start / End Page: - Identifier: -