Does asymptotic simplicity allow for radiation near spatial infinity?

Communications in Mathematical Physics

Volumn 251, Issue 2, 2004, Pages 211-234

  Kroon, Juan Antonio Valiente ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 11144292015     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1174-8     Document Type: Article

References (28)

1. Ashtekar, A., Magnon-Ashtekar, A.: Energy-momentum in general relativity. Phys. Rev. Lett. 43, 181 (1979)
2. Chruściel, P.T., Delay, E.: On mapping properties of the general relativistic constraint operator in weighted function spaces, with applications. Mem. Soc. Math. France 94, 1-103 (2003)
3. Chruściel, P.T., Delay, E.: Existence of non-rivial, vacuum, asymptotically simple spacetimes. Class. Quantum Grav. 19, L71 (2002)
4. Chruściel, P.T., MacCallum, M.A.H., Singleton, D.B.: Gravitational waves in general relativity XIV. Bondi expansions and the " polyhomogeneity" of ℐ. Phil. Trans. Roy. Soc. Lond. A 350, 113 (1995)
5. Corvino, J.: Scalar curvature deformations and a gluing construction for the Einstein constraint equations. Commun. Math. Phys. 214, 137 (2000).
6. Dain, S.: Private communication
7. Dain, S.: Initial data for stationary spacetimes near spacelike infinity. Class. Quantum Grav. 18, 4329 (2001)
8. Dain, S., Friedrich,H.: Asymptotically flat initial data with prescribed regularity at infinity. Commun. Math. Phys. 222, 569 (2001)
9. Dain, S. Valiente Kroon, J.A.: Conserved quantities in a black hole collision. Class. Quantum Grav. 19, 811 (2002)
10. Exton, A.R., Newman, E.T., Penrose, R.: Conserved quantites in the Einstein-Maxwell theory. J. Math. Phys. 10, 1566 (1969)
11. Friedrich, H.: Radiative gravitational fields and asymptotically static or stationary initial data. To appear in the volume "50 years of the Cauchy problem in general relativity", Birkhauser. Title changed to "Smothness at null infinity and the structure of initial data. http://xxx.lanl.gov/abs/gr-qc/0304003v2, 2003
12. Friedrich, H.: On the existence of n-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure. Commun. Math. Phys. 107, 587 (1986)
13. Friedrich, H.: On static and radiative space-times. Commun. Math. Phys. 119, 51 (1988)
14. Friedrich, H.: Einstein equations and conformal structure: existence of anti-de Sitter-type space-times. J. Geom. Phys. 17, 125 (1995)
15. Friedrich, H.: Gravitational fields near space-like and null infinity. J. Geom. Phys. 24, 83 (1998)
16. Friedrich, H.: Einstein's equation and conformal structure. In: The Geometric Universe. Science, Geometry and the work of Roger Penrose. S.A. Huggett, L.J. Mason, K.P. Tod, S.T. Tsou, N.M.J. Woodhouse (eds), Oxford: Oxford University Press, 1999, p. 81
17. Friedrich, H.: Conformal Einstein evolution. In: The conformal structure of spacetime: Geometry, Analysis, Numerics. J. Frauendiener, H. Friedrich (eds), Lecture Notes in Physics, Berlin-Heddelberg-New York: Springer, 2002, p. 1
18. Friedrich, H.: Spin-2 fields on Minkowski space near space-like and null infinity. Class. Quantum Grav. 20, 101 (2003)
19. Friedrich, H., Kánnár, J.: Bondi-type systems near space-like infinity and the calculation of the NP-constants. J. Math. Phys. 41, 2195 (2000)
20. Friedrich, H., Schmidt, B.: Conformal geodesics in general relativity. Proc. Roy. Soc. Lond. A 414, 171 (1987)
21. Newman, E.T., Penrose, R.: New conservation laws for zero rest-mass fields in asymptotically flat space-time. Proc. Roy. Soc. Lond. A 305, 175 (1968)
22. Penrose, R.: Zero rest-mass fields including gravitation: asymptotic behaviour. Proc. Roy. Soc. Lond. A 284, 159 (1965)
23. Sommers, P.: Space spinors. J. Math. Phys. 21, 2567 (1980)
24. Stewart, J.: Advanced general relativity. Cambridge: Cambridge University Press, 1991
25. Valiente Kroon, J.A.: Polyhomogeneous expansions close to null and spatial infinity. In: The Conformal Structure of Spacetimes: Geometry, Numerics, Analysis. J. Frauendiner, H. Friedrich (eds), Lecture Notes in Physics, Berlin-Heidelberg-New York: Springer, 2002, p. 135
26. Valiente Kroon, J.A.: Early radiative properties of the developments of time symmetric conformally flat initial data. Class. Quantum Grav. 20, L53 (2003)
27. Valiente Kroon, J.A.: A new class of obstructions to the smoothness of null infinity. Comm. Math. Phys. 244, 133 (2004)
28. Valiente Kroon, J.A.: On the nonexistence of conformally flat slices for the Kerr and other stationary spacetimes. Phys. Rev. Lett. 92, 041101 (2004)