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References
R. Geroch: Lecture notes at the University of Chicago (unpublished)
R.M. Wald: General Relativity (University of Chicago Press, 1984)
D. Kramer, H. Stephani, M. MacCallum, E. Herlt: Exact Solutions of Einstein's Field Equations (Cambridge University Press, 1980)
C.W. Minser, K.S. Thorne, J.A. Wheeler: Gravitation (Freeman and Co., 1970)
D. Kramer: “Groups of Motions and Exact Solutions,” in Unified Field Theories in More Than Four Dimensions (Including Exact Solutions), ed. by V. De Sabbata, E. Schmutzer (World Scientific Publ. Co., Ettore Majorana, 1983) p.248
S. Kobayashi: Transformation Groups in Differential Geometry (Springer, Berlin Heidelberg New York 1972)
W. Kinnersley: “Recent Progress in Exact Solutions”, in General Relativity and Gravitation, Proceedings of GR7, ed. by G. Shaviv, J. Rosen (Wiley, 1975) p.109
R. Geroch: J. Math. Phys. 12, 918 (1971)
F.J. Ernst: Phys. Rev.167, 1175 (1968)
J. Ehlers: Dissertation, Hamburg (1957)
J. Eells, Jr., J.H. Samson: Am. J. Math. 86, 109 (1964)
J. Eells, Jr., L. Lemaire: Bull. London Math. Soc. 10, 1 (1978)
B.C. Xanthopoulos: J. Phys. A14, 1445 (1981)
D. Kramer, G. Neugebauer, H. Stephani: Fortschr. Phys. 20, 1 (1972)
C. Hoenselaers: J. Math. Phys. 17, 1264 (1976)
W. Kinnersley: J. Math. Phys. 14, 651 (1973)
G. Neugebauer, D. Kramer: Annalen Physik 24, 62 (1969)
M. Gürses, B.C. Xanthopoulos: Phys. Rev. D26, 1912 (1982)
B.K. Harrison: J. Math. Phys. 9, 1744 (1968)
A. Ashtekar, B.C. Xanthopoulos, J. Math. Phys. 19, 2216 (1978)
P. Szekeres: Nature 228, 1183 (1970)
K. Khan,R. Penrose: Nature 229,185 (1971)
T. Lewis: Proc. R. Soc. London A136, 176 (1932)
A. Tomimatsu, H. Sato: Progr. Theor. Phys. 50, 95 (1973)
R. Geroch: J. Math. Phys. 13, 394 (1972)
W. Kinnersley: J. Math. Phys. 18, 1529 (1977)
W. Kinnersley, D.M. Chitre:J. Math. Phys.18,1538 (1977); J. Math. Phys. 19, 1926 (1978); J. Math. Phys. 19, 2037 (1978); Phys.Rev. Lett. 40, 1608 (1976)
C. Hoenselaers, W. Kinnersley, B.C. Xanthopoulos: Phys. Rev. Lett. 42, 481 (1979); J. Math. Phys. 20, 2530 (1979)
C. Hoenselaers: J. Math. Phys. 21, 2241 (1980)
M. Yamazaki: J. Math.Phys. 22, 133 (1981)
C. Hoenselaers: Habilitationsschrift, Universität München (1982)
B.C. Xanthopoulos: J. Math. Phys. 22, 1254 (1981)
W. Dietz: Gen. Rel. Grav. 16, 249 (1984)
W. Kinnersley: In Group Theretical Methods in Physics, Lecture Notes in Physics, Vol. 135, ed. by K.B. Wolf (Springer, Berlin, Heidelberg, New York 1980) p.432
C. Hoenselaers: In Solutions of Einstein's Equations: Techniques and Results, Lecture Notes in Physics, Vol.20, ed. by C. Hoenselaers, W. Dietz (Springer, Berlin, Heidelberg, New York 1984) p.68
W. Dietz: In Ref.35, p.85
B.G. Schmidt: In Ref.35, p.113
I. Hauser, F.J. Ernst: Phys. Rev. D20, 362 (1979); J. Math. Phys. 20, 1783 (1979); J. Math. Phys. 21, 1126 (1980); J. Math. Phys. 21, 1418 (1980); J. Math. Phys. 22, 1051 (1981)
I. Hauser: In Ref.35, p.128
F.J. Ernst: In Ref.35, p.176
D. Guo, F.J. Ernst: J. Math. Phys. 23, 1359 (1982)
Y. Chen, D.S. Guo, F.J. Ernst: J. Math. Phys. 24, 1564 (1983)
D.S. Guo: In Ref.35, p.186
R.M. Miura, C.S. Gardner, M.D. Kruskal: J. Math. Phys. 9, 1204 (1968)
D. Maison: Phys. Rev. Lett. 41, 521 (1978)
B.K. Harrison: Phys. Rev. Let. 41, 1197 (1978)
V.A. Belinskii, V.E. Zakharov: Sov. Phys. JETP. 48, 985 (1978); Sov. Phys. JETP 50, 1 (1979)
G.A. Aleksejev: Proc. GRG9 1, 2 (1980); JETP Lett. 32, 277 (1980)
D. Kramer, G. Neugebauer: J. Phys. A14, L333 (1981)
A. Eris, M. Gürses: In Group Theoretical Methods in Physics, Lecture Notes in Physics, Vol.180, ed. by M. Serdarĝllu, E. Ínönü (Springer, Berlin, Heidelberg, New York 1982) p.164
A. Eris, M. Gürses, A. Karasu: J. Math. Phys. 25, 1489 (1984)
G. Neugebauer, D. Kramer: J. Phys. A16, 1927 (1983)
D. Kramer, G. Neugebauer: In Ref.35, p.1
C.M. Cosgrove: J. Math. Phys. 21, 2417 (1980); J. Math. Phys. 22, 2624 (1981); J. Math. Phys.23, 615(1982)
D. Kramer, G. Neugebauer: Annalen Physik 24, 59 (1969)
S. Chandrasekhar: Proc. R. Soc. London A358, 405 (1978)
B.C. Xanthopoulos: Proc. R. Soc. London A365, 381 (1979)
S. Chandrasekhar, V. Ferrari: Proc. R. Soc. London A396, 55 (1984)
Y. Nutku, M. Halil: Phys. Rev. Lett. 39, 1379 (1977)
S. Chandrasekhar, B.C. Xanthopoulos: Proc. R. Soc. London A398, 223 (1985)
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Xanthopoulos, B.C. (1985). Symmetries and solutions of the einstein equations. In: Martini, R. (eds) Geometric Aspects of the Einstein Equations and Integrable Systems. Lecture Notes in Physics, vol 239. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16039-6_2
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