# Well posed reduced systems for the Einstein equations

Yvonne Choquet-Bruhat; James York

Banach Center Publications (1997)

- Volume: 41, Issue: 1, page 119-131
- ISSN: 0137-6934

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topChoquet-Bruhat, Yvonne, and York, James. "Well posed reduced systems for the Einstein equations." Banach Center Publications 41.1 (1997): 119-131. <http://eudml.org/doc/252237>.

@article{Choquet1997,

abstract = {We review some well posed formulations of the evolution part of the Cauchy problem of General Relativity that we have recently obtained. We include also a new first order symmetric hyperbolic system based directly on the Riemann tensor and the full Bianchi identities. It has only physical characteristics and matter sources can be included. It is completely equivalent to our other system with these properties.},

author = {Choquet-Bruhat, Yvonne, York, James},

journal = {Banach Center Publications},

keywords = {Einstein equations; hyperbolic differential equations; Cauchy problem},

language = {eng},

number = {1},

pages = {119-131},

title = {Well posed reduced systems for the Einstein equations},

url = {http://eudml.org/doc/252237},

volume = {41},

year = {1997},

}

TY - JOUR

AU - Choquet-Bruhat, Yvonne

AU - York, James

TI - Well posed reduced systems for the Einstein equations

JO - Banach Center Publications

PY - 1997

VL - 41

IS - 1

SP - 119

EP - 131

AB - We review some well posed formulations of the evolution part of the Cauchy problem of General Relativity that we have recently obtained. We include also a new first order symmetric hyperbolic system based directly on the Riemann tensor and the full Bianchi identities. It has only physical characteristics and matter sources can be included. It is completely equivalent to our other system with these properties.

LA - eng

KW - Einstein equations; hyperbolic differential equations; Cauchy problem

UR - http://eudml.org/doc/252237

ER -

## References

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- [2] A. Abrahams, A. Anderson, Y. Choquet-Bruhat and J. W. York, Geometrical hyperbolic systems for general relativity and gauge theories, submitted to Class. Quantum Grav., gr-qc/9605014. Zbl0866.58059
- [3] A. Abrahams, A. Anderson, Y. Choquet-Bruhat and J. W. York, A non-strictly hyperbolic system for the Einstein equations with arbitrary lapse and shift, submitted to C.R. Acad. Sci. Paris A. Zbl1020.83503
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