The Cauchy problem for Lorentz metrics with prescribed Ricci curvature

Dennis M. DeTurck

Compositio Mathematica (1983)

  • Volume: 48, Issue: 3, page 327-349
  • ISSN: 0010-437X

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DeTurck, Dennis M.. "The Cauchy problem for Lorentz metrics with prescribed Ricci curvature." Compositio Mathematica 48.3 (1983): 327-349. <http://eudml.org/doc/89597>.

@article{DeTurck1983,
author = {DeTurck, Dennis M.},
journal = {Compositio Mathematica},
keywords = {Cauchy problem; prescribed Ricci curvature; Lorentz metrics; stress energy tensor; Lorentz-Einstein metric; matter field},
language = {eng},
number = {3},
pages = {327-349},
publisher = {Martinus Nijhoff Publishers},
title = {The Cauchy problem for Lorentz metrics with prescribed Ricci curvature},
url = {http://eudml.org/doc/89597},
volume = {48},
year = {1983},
}

TY - JOUR
AU - DeTurck, Dennis M.
TI - The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 48
IS - 3
SP - 327
EP - 349
LA - eng
KW - Cauchy problem; prescribed Ricci curvature; Lorentz metrics; stress energy tensor; Lorentz-Einstein metric; matter field
UR - http://eudml.org/doc/89597
ER -

References

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  2. [2] Y. Choquet-Bruhat: "Cauchy problem", in Gravitation: an Introduction to Current Research, ed. L. Witten, Wiley, 1962. Zbl0115.43103MR143626
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  5. [5] D. Deturck: "Existence of metrics with prescribed Ricci curvature: local theory", Inventiones Math.65 (1981) 179-207. Zbl0489.53014MR636886
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  13. [13] J. Leray: Hyperbolic Differential Equations, lecture notes, IAS, 1951-52. 
  14. [14] A. Lichnerowicz: "Propogateurs et commutateurs en relativité générale", Pub. Math. no. 10, I.H.E.S.Paris, 1961, pp. 293-344. Zbl0098.42607MR157736
  15. [15] A. Lichnerowicz: Relativistic Magnetohydrodynamics, Benjamin, 1967. Zbl0193.55401
  16. [16] C. Lanczos: "Ein vereinfachendes Koordinatensystem für die Einsteinschen Gravitationsgleichungen", Phys. Z.23 (1922) 537-539. Zbl48.1023.01JFM48.1023.01
  17. [17] L. Smarr: "Space-times generated by computers: Black holes with gravitational radiation", Proc. Eighth Texas Symp. on Relativistic Astrophysics, Ann. NY. Acad. Sci.302 (1977) 569-604. 
  18. [18] J. Synge: Relativity: The General Theory, North-Holland, 1960. Zbl0090.18504MR118457

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