Finding solutions to Einstein's equations in terms of invariant objects

Classical and Quantum Gravity

Volumn 13, Issue 11, 1996, Pages 3021-3037

  Bradley, Michael ^a   Marklund, Mattias ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444457380     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/13/11/017     Document Type: Article

References (39)

1. Cartan E 1946 Leçons sur la Geometrie des Espaces de Riemann (Paris: Gauthier-Villars)
2. Karlhede A 1980 Gen. Rel. Grav. 12 693
3. Brans C H 1965 J. Math. Phys. 6 94
4. Bradley M 1986 Class. Quantum Grav. 3 317
5. Bradley M and Karlhede A 1990 Class. Quantum Grav. 7 449
6. Karlhede A and Lindström U 1983 Gen. Rel. Grav. 15 597
7. Karlhede A and MacCallum M A H 1982 Gen. Rel. Grav. 14 673
8. Ryan M P and Shepley L C 1975 Homogeneous Relativistic Cosmologies (Princeton, NJ: Princeton University Press)
9. MacCallum M A H 1980 On enumerating the real four dimensional Lie algebras Preprint Queen Mary College
10. Stewart J M and Ellis G F R 1968 J. Math. Phys. 9 1072
11. Ellis G F R and MacCallum M A H 1969 Commun. Math. Phys. 12 108
12. MacCallum M A H 1971 Commun. Math. Phys. 20 57
13. Collins C B 1971 Commun. Math. Phys. 23 137
14. Newman E T and Penrose R 1962 J. Math. Phys. 3 566
15. Ellis G F R 1973 Relativistic cosmology Cargèse Lectures in Physics vol 6, ed E Schatzman (New York: Gordon and Breach)
16. MacCallum M A H 1973 Cosmological models from a geometric point of view Cargèse Lectures in Physics vol 6, ed E Schatzman (New York: Gordon and Breach)
17. Geroch R, Held A and Penrose R 1973 J. Math. Phys. 14 874
18. Ehlers J 1993 Gen. Rel. Grav. 25 1225
19. Cahen M and Defrise L 1968 Commun. Math. Phys. 11 56
20. Flanders H 1963 Differential Forms with Applications to the Physical Sciences (New York: Academic)
21. MacCallum M A H and Åman J E 1986 Class. Quantum Grav. 3 1133
22. MacCallum M A H and Skea J E F 1992 SHEEP: A Computer Algebra System for General Relativity ed M J Reboucas (Oxford: Oxford University Press)
23. Brans C H 1977 J. Math. Phys. 18 1378
24. Bonanos S 1991 J. Math. Phys. 32 193
25. Edgar S B 1979 Int. J. Theor. Phys. 18 251
26. Papapetrou C R 1971 Acad. Sci. 272 1613
27. Papapetrou C R 1970 Ann. Inst. H Poincaré 13 271
28. Edgar S B 1990 J. Math. Phys. 31 131
29. Marklund M 1996 Invariant construction of solutions to Einstein's field equations - locally rotationally symmetric perfect fluids. I Preprint
30. Marklund M and Bradley M 1996 Invariant construction of solutions to Einstein's field equations - locally rotationally symmetric perfect fluids. II, in preparation
31. Ellis G F R 1967 J. Math. Phys. 8 1171
32. Bogoyavlensky O I and Novikov S P 1975 Trudy Sem. Petrovsk. 1 7
33. (Engl. transl. 1982 Sel. Math. Sov. 2 159)
34. Bogoyavlensky O I 1976 Trudy Sem. Petrovsk. 2 67
35. (Engl. transl. 1985 Am. Math. Soc. Transl. 125 83)
36. MacCallum M A H 1980 Festschrift for Abraham Taub ed F J Tipler (New York: Academic)
37. Kramer D, Stephani H, MacCallum M and Herlt E 1980 Exact Solutions to Einstein's Field Equations (Cambridge: Cambridge University Press)
38. van Elst H and Ellis G F R 1996 Class. Quantum Grav. 13 1099
39. Collinson C D 1976 Gen. Rel. Grav. 7 419