Conformal geometry and spatially homogeneous cosmology
Annales de l'I.H.P. Physique théorique (1980)
- Volume: 33, Issue: 2, page 121-146
- ISSN: 0246-0211
Access Full Article
topHow to cite
topJantzen, Robert T.. "Conformal geometry and spatially homogeneous cosmology." Annales de l'I.H.P. Physique théorique 33.2 (1980): 121-146. <http://eudml.org/doc/76089>.
@article{Jantzen1980,
author = {Jantzen, Robert T.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {decomposition of tensor fields; Lie algebra; simply connected Lie group; space-time; spacelike slices},
language = {eng},
number = {2},
pages = {121-146},
publisher = {Gauthier-Villars},
title = {Conformal geometry and spatially homogeneous cosmology},
url = {http://eudml.org/doc/76089},
volume = {33},
year = {1980},
}
TY - JOUR
AU - Jantzen, Robert T.
TI - Conformal geometry and spatially homogeneous cosmology
JO - Annales de l'I.H.P. Physique théorique
PY - 1980
PB - Gauthier-Villars
VL - 33
IS - 2
SP - 121
EP - 146
LA - eng
KW - decomposition of tensor fields; Lie algebra; simply connected Lie group; space-time; spacelike slices
UR - http://eudml.org/doc/76089
ER -
References
top- [1] R.T. Jantzen, Commun. math. Phys., t. 64, 1979, p. 211-232. Zbl0404.53054MR520091
- [2] L. Smarr, J.W. York Jr., Phys. Rev., t. D 17, 1978, p. 2529-2549; Phys. Rev., t. D 17, 1978, p. 1945-1956.
- [3] J.W. York, Jr., N. O'Murchadha, Bull. Amer. Phys. Soc., t. 19, 1974, p. 509 ; J.W. York Jr., L. Smarr, Bull. Amer. Phys. Soc., t. 20, 1975, p. 544.
- [4] J.W. York Jr., J. Math. Phys. t. 14, 1973, p. 456-464. Zbl0259.53014
- [5] J.W. York Jr., Ann. Inst. Henri Poincaré, t. 21, 1974, p. 319-332. Zbl0308.53018
- [6] J.W. York Jr., Kinematics and dynamics of general relativity. In: Sources of gravitational radiation (ed. L. Smarr). Cambridge University Press, 1979. Zbl0418.58016
- [7] A.E. Fischer, J.E. Marsden, Can. J. Math., t. 29, 1977, p. 193-209. Zbl0358.58006MR445537
- [8] M. Cantor, Comp. Math., t. 38, 1979, p. 3-35. Zbl0402.58004MR523260
- [9] A. Fischer, J.E. Marsden, Topics in the dynamics of general relativity. In: Proceedings of the Enrico Fermi Summer School of the Italian Physical Society (ed. J. Ehlers), Varenna (to appear).
- [10] J.W. York Jr., Phys. Rev. Lett., t. 28, 1972, p. 1082-1085.
- [11] M. Berger, D. Ebin, J. Diff. Geom., t. 3, 1969, p. 379-392. Zbl0194.53103MR266084
- [12] F.W. Warner, Foundations of differentiable manifolds and Lie groups. Glenview, Ill., Scott, Foresman and Co., 1971. Zbl0241.58001MR295244
- [13] D.M. Eardley, Commun. math. Phys., t. 37, 1974, p. 287-309. MR351368
- [14] N. O'Murchadha, J.W. York Jr., J. Math. Phys., t. 14, 1973, p. 1551-1557. Zbl0281.53031MR332094
- Y. Choquet-Bruhat, J.W. YorkJr., The Cauchy problem. In: Einstein Centenary Volume (eds. P. Bergman, J. Goldberg, A. Held). Plenum Press, 1979.
- A. Lichnerowicz, J. Maths pures et appliquées, t. 23, 1944, p. 37-63. Zbl0060.44410MR14298
- Y. Choquet-Bruhat, C. R. Acad. Sci., t. 274, 1972, p. 682-684 and Acta di Matematica, t. XII, 1973, p. 317-325. Zbl0228.53044MR293959
- A. Chaljub-Simon, Y. Choquet-Bruhat, Solution of the Lichnerowicz equation on an asymptotically euclidean manifold. G. R. G. Journal, to appear.
- [15] C.W. Misner, Phys. Rev. Lett., t. 22, 1969, p. 1071-1074. Zbl0177.28701
- M.P. Ryan Jr., L.C. Shepley, Homogeneous Relativistic Cosmologies. Princeton University Press, 1975. MR524082
- [16] V. Moncrief, J. Math. Phys., t. 16, 1975, p. 493-498. Zbl0314.53035MR363398
- [17] A.E. Fischer, The Theory of Superspace. In: Relativity (eds. M. Carmeli, S. I. Fickler, L. Witten). New York, Plenum Press, 1970. MR347323
- [18] A.E. Fischer, J.E. Marsden, Symmetry breaking in general relativity (to appear). Zbl0467.53041
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.