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

REFERENCES 319
force can be foreseen for certain systems when, effectively, the charged
particles (of one and the same sign of charge) would experience a mutual
“attraction”.
Acknowledgments
The author is much indebted to Bryce S. DeWitt for many friendly
discussions; in particular, Bryce stressed (in May, 1992) the impossibility
for systems of particles possessing electric charges of one and the
same sign, to create the field yielding zero Lorentz force acting on these
particles. Thus he did implicitly anticipate that vanishing of the Lorentz
force should be a result of a superposition of the field mentioned above
and a source–free electromagnetic field whose presence is obscured by
the nonlinear nature of Einstein’s equations. My thanks are due to
Georgios Tsalakou for the great pleasure of scientific collaboration with
him. I gratefully acknowledge both spoken and e-mail discussions with
Jan Horský; these contacts always were and continue to be friendly and
fruitful.
This work, in its initial stage, was partially supported by the CONA-
CyT (Mexico) Grant 1626P.
References
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
A. Banerjee and S. Banerji, J. Phys. A 1 (1968) 188.
A. Banerjee, N. Chakravarty and S. B. Dutta Choudhury, Aust. J. Phys. 29
(1976) 119.
N. van den Bergh and P. Wils, in: Classical General Relativity, ed. by W. B.
Bonnor, J. N. Islam and M. A. H. MacCallum (Cambridge University Press,
Cambridge, U.K., 1984).
N. van den Bergh and P. Wils, Class. Quantum Grav. 1 (1984) 199.
W. B. Bonnor, J. Phys. A13 (1980) 3465.
M. Cataldo, K. Kumaradtya and N. Mitskievich, Gen. Relativ. and Grav. 26
(1994) 847.
H. Dehnen, H. Hönl and K. Westpfahl, Zs. f. Physik 164 (1961) 483.
A. Georgiou, Nuovo Cim. 108B (1993) 69.
K. Gödel, Revs. Mod. Phys. 21 (1949) 447.
S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space–time
(Cambridge University Press, Cambridge, U.K., 1973).
H. Hönl and Chr. Soergel–Fabricius Zs. f. Physik 163 (1961) 571.
and N.V. Mitskievich, Czech. J. Phys. B 30 (1989) 957.
and N.V. Mitskievich, Class. and Quantum Grav. 7 (1990) 1523.
J. N. Islam, “Rotating fields in general relativity” (Cambridge University Press,
Cambridge, UK., 1985).