Integration in the GHP formalism III: Finding conformally flat radiation metrics as an example of an 'optimal situation'

General Relativity and Gravitation

Volumn 29, Issue 10, 1997, Pages 1309-1328

  Edgar, S Brian ^a   Ludwig, Garry ^b  

^a LINKÖPING UNIVERSITY   (Sweden)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

GHP formalism; Pure radiation metrics

Indexed keywords

EID: 0031286078     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018820031537     Document Type: Article

References (29)

1. 1. Geroch, R., Held, A., and Penrose, R. (1973). J. Math. Phys. 14, 874.
2. 2. Held, A. (1974). Commun. Math. Phys. 37, 311.
3. 3. Edgar, S. B. (1980). Gen Rel. Grav. 12, 347.
4. 4. Edgar, S. B. (1992). Gen Rel. Grav. 24, 1267.
5. 5. Held, A. (1985). In Galaxies, Axisymmetric Systems and Relativity, M. A. H. MaCallum, ed. (Cambridge University Press, Cambridge). p.208.
6. 6. Held, A. (1975). Commun. Math. Phys. 44, 211.
7. 7. Held, A. (1976). Gen. Rel. Grav. 7, 177.
8. 8. Held, A. (1976). J. Math. Phys. 17, 39.
9. 9. Stewart, J. M., and Walker, M. (1974). Proc. Roy. Soc. Lond. A341, 49.
10. 10. Newman, E. T., and Penrose, R. (1962). J. Math. Phys. 3, 566.
11. 11. Newman, E. T., and Unti, T. (1962). J. Math. Phys. 3, 891.
12. 12. Newman, E. T., and Unti, T. (1963). J. Math. Phys. 4, 1467.
13. 13. Edgar, S. B., and Ludwig, G. (1997). Gen. Rel. Grav. 29, 19.
14. 14. Kolassis, Ch. (1996). Gen. Rel. Grav. 28, 787.
15. 15. Kolassis, Ch., and Griffith, J. B. (1996). Gen. Rel. Grav. 28, 805.
16. 16. Ludwig, G., and Edgar, S. B. (1996). Gen. Rel. Grav. 28, 707.
17. 17. Wils, P. (1989). Class. Quantum Grav. 6, 1243.
18. 18. Koutras, A. (1992). Class. Quantum Grav. 9, L143.
19. 19. Koutras, A. and McIntosh, C. (1996). Class. Quantum Grav. 13, L47.
20. 20. Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980). Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).
21. 21. McLenaghan, R. G., Tariq, N., and Tupper, B. O. J. (1975). J. Math. Phys. 16, 829.
22. 22. Kundt, W. (1962). Proc. Roy. Soc. Lond. A270, 328.
23. 23. Edgar, S. B., and Ludwig, G. (1997). Class. Quantum Grav. 14, L65.
24. 24. Skea, J. E. F. (1997). Class. Quantum Grav. 14, 2393.
25. 25. Åman, J. E. (1987). Manual for CLASSI: Classification programs for geometries in General Relativity. (Third provisional edition.) Technical Report, Institute of Theoretical Physics, University of Stockholm.
26. 26. Skea, J. E. F. (1997). "Type N space-times whose invariant classifications require the fourth covariant derivative of the Riemann tensor." To appear in Class. Quantum Grav.
27. 27. Skea, J. E. F. (1997). "The On-Line Exact Solution and Invariant Classification Database." Currently available at http://edradour.symbcomp.uerj.br and mirrors detiled in that homepage.
28. 28. Karlhede, A. (1980). Gen. Rel. Grav. 12, 693.
29. 29. Collins, J. M., d'Inverno, R. A. and Vickers, J. A. (1990). Class. Quantum Grav. 7, 2005.