Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

IFSL > IFSL Volume 2 > Petrov Classification of the Liénard–Wiechert...
Petrov Classification of the Liénard–Wiechert Field
< Back to Volume

Petrov Classification of the Liénard–Wiechert Field

Full Text PDF

Abstract:

Newman [1] showed analogies between the Liénard–Wiechert field [2-7] and the Robinson-Trautman (RT) solutions [8-10] of the Einstein gravitational equations. Here we present one more analogy: The Maxwell field produced by a point charge in arbitrary motion has the same algebraic type as the RT metrics. This result is possible because the Weert superpotential [3, 6, 7, 11-16] permits to construct an “electromagnetic Weyl tensor” which admits the Petrov classification [8, 17-24] as in general relativity.

Info:

Periodical:
International Frontier Science Letters (Volume 2)
Pages:
16-17
DOI:
https://doi.org/10.18052/www.scipress.com/IFSL.2.16
Citation:
J. L. Lopez-Bonilla et al., "Petrov Classification of the Liénard–Wiechert Field", International Frontier Science Letters, Vol. 2, pp. 16-17, 2014
Online since:
October 2014
Authors:
José Luis Lopez-Bonilla, R. López-Vázquez, H. Torres-Silva
Keywords:
Liénard-Wiechert Field, Petrov Classification, Weert Superpotential
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

E. Newman, J. Math. Phys. 15 (1974) 44.

J. L. Synge, Ann. Mat. Pura Appl. 84 (1970) 33.

J. López-Bonilla, J. Morales and M. Rosales, Pramana J. Phys. 42 (1994) 89.

V. Gaftoi, J. López-Bonilla and G. Ovando, Aligarh Bull. Math. 17 (1997-1998) 59.

V. Gaftoi, J. López-Bonilla and G. Ovando, Canad. J. Phys. 79, No. 1 (2001) 75.

J. H. Caltenco, J. López-Bonilla, J. Morales and G. Ovando, Chinese J. Phys. 40, No. 3 (2002) 214.

V. Barrera F., J. López-Bonilla and J. Sosa, Comm. in Phys. 19, No. 4 (2009) 229.

D. Kramer, H. Stephani, M. MacCallum and E. Herlt, Exact solutions of Einstein's field equations, Cambridge University Press (1980).

V. Gaftoi, J. López-Bonilla, G. Ovando and M. Rosales, J. Moscow Phys. Soc. 3, No. 1 (1993) 19.

J. López-Bonilla and J. Rivera, Indian J. Math. 40 (1998) 159.

Ch. G. van Weert, Phys. Rev. D9 (1974) 339.

J. López-Bonilla, G. Ovando and J. Rivera, Nuovo Cim. B112, No. 10 (1997) 1433.

J. López-Bonilla, G. Ovando and J. Rivera, Indian J. Pure Appl. Math. 28 (1997) 1355.

V. Gaftoi, J. López-Bonilla and G. Ovando, Int. J. Theor. Phys. 38 (1999) 939.

G. Arreaga, J. López-Bonilla and G. Ovando, Indian J. Pure Appl. Math. 31 (2000) 85.

J. López-Bonilla, J. Morales and G. Ovando, Indian J. Phys. B74 (2000) 167.

A. Z. Petrov, Sci. Nat. Kazan State Univ. 114 (1954) 55.

Show More Hide
Cited By:
This article has no citations.