Exact Solutions and Scalar Fields in Gravity - Instituto Avanzado de ...

86 EXACT SOLUTIONS AND SCALAR FIELDS IN GRAVITY
posses a general solution i.e. solution given in terms of two
arbitrary function each of which depends on three variables
and and is given by
where is given in implicit form
Summarizing, the above construction leads to a singular in solution
of ME.
Acknowledgments
This work was partially supported by the CONACyT and CINVES-
TAV (México) and by KBN (Poland). One of us (M.P.) is indebted
to the staff of Departamento de Fisica, CINVESTAV, Mexico D.F., for
warm hospitality.
References
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
R.S. Ward, Nucl. Phys. B 236 (1984) 381.
R.S. Ward, Philos. Trans. R.Soc. A315 (1985) 451.
R.S. Ward, in: Field theory, quantum gravity and strings, eds. H.J. de Vega and
N. Sanchez, Lecture Notes in Physics 280 (Springer, Berlin 1986).
R.S. Ward, in: Twistors in mathematics and physics, eds. T.N. Bailey and R.J.
Baston (Cambridge University Press, Cambridge 1990).
L.J. Mason and N.M.J.Woodhouse, Integrability, self–duality, and twistor theory
(Clarendon Press, Oxford 1996).
L.J. Mason, Twistor Newsletter 30 (1990) 14.
I.A.B. Strachan, Phys. Lett. B282 (1992) 63.
K. Takasaki, J. Geom. Phys. 14 (1994) 332.
M. Przanowski, B. Rajca and J. Tosiek , Acta Phys. Pol. B26
(1995) 889.
and M. Przanowski, Phys. Lett. A212 (1996) 22.
and M. Przanowski, in: Gravitation, electromagnetism and geometrical
structures, ed. G.Farrarese (Pitagora Editrice, Bologna 1996).
M. Przanowski and Acta Phys. Pol. B30 (1999) 863.
D.B. Fairlie and A.N. Leznov, J. Phys. A: Math. Gen. 33 (2000) 4657.
B.A. Kupershmidt, Lett. Math. Phys. 20 (1990) 19.
I.A.B. Strachan, J. Geom. Phys. 21 (1997) 255.
M. Przanowski, and F. J. Turrubiates, Mod. Phys. Lett. A13 (1998)
3193.
C. Castro and J. Math. Phys. 40 (1999) 3738.