Abstract
In this paper we present an example of a specific metric which geometrizes explicitly a light-like four-vector potential field (Evans-Vigier field). We define the concepts of ‘semilocal’ and ‘complete’ geometrization and show that a light-like vector field has the same geometrical structure as a gravitational Kerr field. With this background in mind we discuss a theoretical proposition that a rotating body generates, besides a special gravitational field, a magnetic-type gauge field which might be identified with a geometrized Evans- Vigier field. We finally present a discussion which inform us that a classical Evans-Vigier field represents a novel type of field because we cannot identify it with any of the known electromagnetic fields.
Similar content being viewed by others
References
M. W. Evans, Found. Phys. Lett. 8, 279 (1995).
H. Sokolik and J. Rosen, Gen. Rel. Grav. 14, 707 (1982).
P. Havas and J. N. Goldberg, Phys. Rev. 128, 398 (1962).
A. Lichnerowicz, Relativistic Hydrodynamics and Magnetohydrodynamics (Benjamin, New York, 1967), p. 26.
R. G. Beil, Int. J. Theoret. Phys. 26, 189 (1987).
P. Droz-Vincent, Nuovo Cimento LI B, 555 (1967).
C. Ciubotariu, Gen. Rel. Grav. 27, 129 (1995).
V. Girtu and C. Ciubotariu, Anal. Univ. Vest Timisoara 33, 61 (1995).
S. Roy, Ada Applicandae Mathematicae 26, 209 (1992).
G. N. Ord, J. Phys. A: Math. Gen. 16, 1869 (1983).
G. N. Ord, Chaos, Solitons & Fractals 7, 821 (1996).
L. Nottale, Chaos, Solitons & Fractals 7, 877 (1996).
H. Yilmaz, Nuovo Cimento 107B, 941 (1992); “Did the Apple Fall?,” in Frontiers of Fundamental Physics, M. Barone and F. Selleri, eds. (Plenum, New York, 1994).
F. I. Cooperstock and D. N. Vollick, Nuovo Cimento 111B, 266 (1996).
W. Israel and R. Trollope, J. Math. Phys 2, 777 (1961).
D. V. Ahluwalia and T.-Y. Wu, Lett. Nuovo Cimento 23, 406 (1978).
M. W. Evans, Physica B182, 237 (1992); Physica B183, 103 (1993).
A. H. Epstein and S. D. Senturia, Science 276, 1211 (1997).
B. R. Holstein, Am. J. Phys. 59, 1080 (1991).
V. B. Bezerra, J. Math. Phys. 30, 2895 (1989).
E. G. Harris, Am. J. Phys. 64, 378 (1996).
M. Fontaine and P. Amiot, Ann. Phys. 147, 269 (1983).
C. Möller, Selected Problems in General Relativity, Brandeis University, Summer Institute in Theoretical Physics, Lecture Notes, 1960.
M. S. Morris, K. S. Thome and U. Yurtsver, Phys. Rev. Lett. 61, 1446 (1988).
M. Alcubierre, Class. Quantum Grav. 11, L73 (1994).
I. R. Kenyon, General Relativity (Oxford University Press, Oxford, 1990).
L. P. Hughston and K. P. Tod, An Introduction to General Relativity (Cambridge University Press, Cambridge, 1990). R. Adler, M. Bazin, and M. SchrifFer, Introduction to General Relativity (McGraw-Hill, New York, 1975).
J. Argyris and C. Ciubotariu Magnetic-Type Vortex Fields in Kerr-Schild Spacetimes, in preparation.
J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), 2nd edn.
N. Salingaros, Am. J. Phys. 53, 361 (1985).
P. A. M. Dirac, Proc. Roy. Soc. A209, 291 (1951); A212, 330 (1952).
A. Melvin, Nature 171, 890 (1953).
S. Parrott, Relativistic Electrodynamics and Differential Geometry (Springer, New York, 1987).
R. J. Jackiw, Gauge-Specification in a Non-Abelian Gauge Theory, Orbis Scientiae Conference, Coral Gables, Florida, January 1978.
R. C. Pappas, Am. J. Phys. 52, 255 (1984); 53, 912 (1985).
N. P. Konopleva and V. N. Popov, Gauge Fields (Physics) (Harwood Academic, Chur, 1981).
M. Chaichian and N. F. Nelipa, Introduction to Gauge Field Theories (Springer, Berlin, 1984).
R. G. Beil, Int. J. Theor. Phys. 30, 1663 (1991).
M. A. Schweizer, Am. J. Phys. 58, 930 (1990).
C. Ciubotariu, Phys. Lett. A158, 27 (1991).
C. Ciubotariu, Gen. Rel. Grav. 28, 405 (1996).
J. A. Ferrari, J. Griego and E.. E. Falco, Gen. Rel. Grav. 21, 69 (1989).
H. Honl and H. Dehnen, Ann. Phys. (Leipzig) 11, 201 (1963).
H. Dehnen, Z. Phys. 199, 360 (1967).
L. D. Raigorodski, Phys. Lett. A32, 527 (1970); A34, 434 (1971); A37, 273 (1971).
J. L. Synge, Relativity: The Special Theory (North-Holland, Amsterdam, 1956).
J. Buitrago, Eur. J. Phys. 16, 113 (1995).
D. W. Sciama, “On the Analogy between Charge and Spin in General Relativity,” inn Recent Developments in General Relativity, A. Trautman, ed. (Pergamon, Warsaw, 1962).
A. S. Goldhaber and M. M. Nieto, Rev. Mod. Phys. 43, 277 (1971).
P. D. B. Collins, A. D. Martin and E. J. Squires, Particle Physics and Cosmology (Wiley, New York, 1989).
J. Plebanski, Lectures on Non-Linear Electrodynamics, NORDITA, Copenhagen, 1970.
V. Pope, The Cinematic Light- Wave, Lecture Notes, Evans Electronic University, Craigcefnparc, Swansea, United Kingdom, November 27, 1997.
G. L. Murphy and R. R. Burman, Astrophysics and Space Science 56, 363 (1978).
A. Barnes, Astrophys. J. 227, 1 (1979).
H. Hora, Physics of Laser Driven Plasmas (Wiley, New York, 1981).
H. C. Ohanian, Am. J. Phys. 54, 500 (1985).
M. M. Novak, Fortschr. Phys. 37, 125 (1989).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Argyris, J., Ciubotariu, C. & Andreadis, I. A Metric for an Evans-Vigier Field. Found Phys Lett 11, 141–163 (1998). https://doi.org/10.1023/A:1022406414943
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1023/A:1022406414943