The isometry groups of asymptotically flat, asymptotically empty space-times with timelike ADM four-momentum

Communications in Mathematical Physics

Volumn 188, Issue 3, 1997, Pages 585-597

  Beig, Robert ^a   Chruściel, Piotr T ^b,c  

^a UNIVERSITY OF VIENNA   (Austria)

^b UNIVERSITÉ DE TOURS   (France)

^c INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039269128     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050180     Document Type: Article

References (21)

1. Ashtekar, A.and Hansen, R.O.: A unified treatment of null and spatial infinity in general relativity. I. universal structure, asymptotic symmetries and conserved quantities at spatial infinity. J. Math. Phys. 19, 1542-1566 (1978)
2. Bartnik, R.: The mass of an asymptotically flat manifold. Comm. Pure Appl. Math. 39, 661-693 (1986)
3. Beig, R. and Chruściel, P.T.: Killing Initial Data. Class. Quantum. Grav. 14, A83-A92, (1996) (A special issue in honour of Andrzej Trautman on the occasion of his 64th Birthday, J.Tafel, editor.)
4. Beig, R. and Chruściel, P.T.: Killing vectors in asymptotically flat space-times: I. Asymptotically translational Killing vectors and the rigid positive energy theorem. Jour. Math. Phys. 37, 1939-1961 (1996) gr-qc/9510015.
5. Beig, R. and ÓMurchadha. N.: The Poincaré group as the symmetry group of canonical general relativity. Ann. Phys. 174, 463-498 (1987)
6. Bičák, J. and Schmidt, B..: Asymptotically flat radiative space-times with boost-rotation symmetry: The general structure. Phys. Rev. D40, 1827-1853 (1989)
7. Chandrasekhar, S.: Ellipsoidal figures of equilibrium. New York: Dover Publ., 1969
8. Choptuik, M.: Universality and scaling in gravitational collapse of a masless scalar field. Phys. Rev. Lett. 70, 9-12 (1993)
9. Christodoulou, D. and ÓMurchadha, N.: The boost problem in general relativity. Commun. Math. Phys. 80, 271-300 (1980)
10. Chruściel, P.T.: Boundary conditions at spatial infinity from a hamiltonian point of view. Topological Properties and Global Structure of Space-Time (P. Bergmann and V. de Sabbata, eds.). New York: Plenum Press, 1986 pp. 49-59
11. Chruściel, P.T.: On the invariant mass conjecture in general relativity. Commun. Math. Phys. 120, 233-248 (1988)
12. Chruściel, P.T.: On uniqueness in the large of solutions of Einstein equations ("Strong Cosmic Censorship"), Canberra: Australian National University Press, 1991
13. Chruściel, P.T.: "No Hair" Theorems - folklore, conjectures, results. In: Differential Geometry and Mathematical Physics J. Beem and K.L. Duggal, eds., vol. 170, Providence, RI: American Mathematical Society, 1994, pp. 23-49 gr-qc/9402032,
14. Chruściel, PT. and Wald, R.M.: Maximal hypersurfaces in stationary asymptotically flat space-times. Commun. Math. Phys. 163, 561-604, (1994) gr-qc/9304009
15. Galloway, G.J.: Splitting theorems for spatially closed space-times. Commun. Math. Phys. 96, 423-429 (1984)
16. Gibbons, G. and Stewart, J.M.: Absence of asymptotically flat solutions of Einstein's equations which are periodic and empty near infinity. In: Classical general relativity, W.B. Bonnor and M.A.H. MacCallum, eds., Cambridge: Cambridge University Press, pp. 77-94 1984
17. Gundlach, C: The Choptuik spacetime as an eigenvalue problem. Phys. Rev. Lett. 75, 3214-3218 (1995) gr-qc/9507054
18. Kirillov, A.: Eléments de la théorie des représentations. Moscow: Mir, 1974, in French (translation from Russian)
19. Kobayashi, S. and Nomizu. K.: Foundations of differential geometry. New York: Interscience Publishers, 1963
20. Kramer, D., Stephani, D., MacCallum, M. and Herlt, E.: Exact solutions of Einstein's field equations. E. Schmutzer, ed., Cambridge: Cambridge University Press, 1980
21. Papapetrou, A.: On periodic non-singular solutions in the general theory of relativity. Ann. Phys. 6, 399-411 (1957)