Bondi-type systems near spacelike infinity and the calculation of the Newman-Penrose constants

Journal of Mathematical Physics

Volumn 41, Issue 4, 2000, Pages 2195-2232

  Friedrich, Helmut ^a   Kánnár, János ^b  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347162     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533235     Document Type: Article

References (21)

1. H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, "Gravitational waves in general relativity. VII. Waves from isolated, systems," Proc. R. Soc. London, Ser. A 269, 21-52 (1962).
2. E. Newman and R. Penrose, "An approach to gravitational radiation by a method of spin coefficients," J. Math. Phys. 3, 566-578 (1962); 4, 988 (1962).
3. E. Newman and R. Penrose, "An approach to gravitational radiation by a method of spin coefficients," J. Math. Phys. 3, 566-578 (1962); 4, 988 (1962).
4. R. K. Sachs, "Gravitational waves in general relativity, viii. Waves in asymptotically flat space-time," Proc. R. Soc. London, Ser. A 270, 103-126 (1962).
5. R. Penrose, "Asymptotic properties of fields and space-time," Phys. Rev. Lett. 10, 66-68 (1963).
6. R. Penrose, "Zero rest-mass fields including gravitation: Asymptotic behavior," Proc. R. Soc. London, Ser. A 284, 159-203 (1965).
7. H. Friedrich, "Gravitational fields near space-like and null infinity," J. Geom. Phys. 24, 83-163 (1998).
8. R. Penrose, "Quasi-local mass and angular momentum in general relativity," Proc. R. Soc. London, Ser. A 381, 53-63 (1982).
9. S. Dain (in preparation).
10. E. T. Newman and R. Penrose, "10 exact gravitationally-conserved quantities," Phys. Rev. Lett. 15, 231-233 (1965).
11. E. T. Newman and R. Penrose, "New conservation laws for zero rest-mass fields in asymptotically flat space-time," Proc. R. Soc. London, Ser. A 305, 175-204 (1968).
12. J. N. Goldberg, "Invariant transformations and Newman-Penrose constants," J. Math. Phys. 8, 2161-2166 (1967).
13. W. H. Press and J. M. Bardeen, "Non-conservation of the Newman-Penrose conserved quantities," Phys. Rev. Lett. 27, 1303-1306 (1971).
14. D. C. Robinson, "Conserved quantities of Newman and Penrose," J. Math. Phys. 10, 1745-1753 (1969).
15. H. Friedrich, "Einstein equations and conformal structure: Existence of anti-de Sitter-type space-times," J. Geom. Phys. 17, 125-184 (1995).
16. H. Friedrich and B. G. Schmidt, "Conformal geodesies in general relativity," Proc. R. Soc. London, Ser. A 414, 171-195 (1987).
17. R. Penrose, "Conserved quantities and conformal structure in general relativity," Relativity and astrophysics, edited by J. Ehlers (American Mathematically Society, Providence, 1967).
18. E. T. Newman and T. W. J. Unti, "Behavior of asymptotically flat empty spaces," J. Math. Phys. 3, 891-901 (1962).
19. J. N. Goldberg et al., "Spin-s spherical harmonics and o," J. Math. Phys. 8, 2155-2161 (1967).
20. M. Ko, E. T. Newman, and K. P. Tod, H-space and Null Infinity, Asymptotic Structure of Space-time, edited by F. P. Esposito and L. Witten (Plenum, New York, 1977).
21. E. T. Newman and R. Penrose, "Note on the Bondi-Metzner-Sachs group," J. Math. Phys. 7, 863-870 (1966).