On the existence of C∞ solutions to the asymptotic characteristic initial value problem in general relativity

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1947, 1996, Pages 945-952

  Kánnár, János ^a,b  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746738267     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0047     Document Type: Article

References (10)

1. Abraham, R. & Robbin, J. 1967 Transversal mappings and flows. New York: Benjamin.
2. Friedrich, H. 1981a On the regular and the asymptotic characteristic initial value problem for Einstein's vacuum field equations. Proc. R. Soc. Land. A 375, 169-184.
3. Friedrich, H. 19816 The asymptotic characteristic initial value problem for Einstein's vacuum field equations as an initial value problem for a first-order quasilinear symmetric hyperbolic system. Proc. R. Soc. Land. A 378, 401-421.
4. Friedrich, H. 1982 On the existence of analytic null asymptotically flat solutions of Einstein's vacuum field equations. Proc. R. Soc. Lond. A 381, 361-371.
5. Friedrich, H. 1992 Recent advances in general relativity: Essays in honour of E. T. Newman. Boston: Birkhauser.
6. Newman, E. & Penrose, R. 1962 An approach to gravitational radiation by a method of spin coefficients. J. Math. Phys. 3, 566-578; 4, 988.
7. Penrose, R. 1963 Asymptotic properties of fields and space-times. Phys. Rev. Lett. 10, 66-68.
8. Penrose, R. 1965 Zero rest mass fields including gravitation. Proc. R. Soc. Lond. A 284, 159-203.
9. Rendall, A. 1990 Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations. Proc. R. Soc. Lond. A 427, 221-239.
10. Taylor, M. E. 1993 Pseudodifferential operators and nonlinear PDE. Boston: Birkhauser.