Integrable cases of the Einstein equations

Communications in Mathematical Physics

Volumn 208, Issue 1, 1999, Pages 225-243

  Dancer, Andrew ^a,b   Wang, McKenzie Y ^a  

^a MCMASTER UNIVERSITY   (Canada)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033235579     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050755     Document Type: Article

References (10)

1. [1] Bérard Bergery, L.: Sur des nouvelles variétés riemanniennes d'Einstein. Nancy: Publications de l'Institut Elie Cartan, 1982
2. [2] Böhm, C.: Complete non-compact cohomogeneity one Einstein metrics. Bull. Math Soc. Fr. 127, 135-177 (1999)
3. [3] Dancer, A. and Wang, M.: The cohomogeneity one Einstein equations from the Hamiltonian viewpoint. Preprint 1998
4. [4] Eguchi, T. and Hanson, A.J.: Asymptotically flat self-dual solutions to Euclidean gravity. Phys. Lett. 74B (3), 249-251 (1978)
5. [5] Eschenburg, J.H. and Wang, M.: The initial value problem for cohomogeneity one Einstein metrics. J. of Geometric Analysis (to appear)
6. [6] Guillemin, V. and Sternberg, S.: Symplectic Techniques in Physics. Cambridge: Cambridge University Press, 1984
7. [7] Page, D.: A compact rotating gravitational instanton. Phys. Lett. 79B, 235-238 (1979)
8. [8] Page, D. and Pope, C.: Inhomogeneous Einstein metrics on complex line bundles. Classical and Quantum Gravity 4, 213-225 (1987)
9. [9] Wang, M. and Ziller, W.: Existence and non-existence of homogeneous Einstein metrics. Invent. Math. 84, 177-194 (1986)
10. [10] Wang, M. and Ziller, W.: Einstein metrics on principal torus bundles. J. Diff. Geom. 31, 215-248 (1990)