Abstract
The field equations of general relativity with electromagnetic stress tensor and zeromass scalar meson field are investigated. The metric coefficients are assumed to be functions of three variables only. It is then shown that, if one assumes a functional relation between some one of the metric coefficients and the electromagnetic potentials, that one can find a solution of the coupled Einstein-Maxwell equations in terms of a solution of the Einstein equations with zeromass scalar meson field as source.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Janis, A. I., Newman, E. T., Winicour, J.: Phys. Rev. Letters20, 878 (1968).
Misra, R. M., Bhushan Pandey, Deo: Intraction of zeromass mesons and charged dust in axially symmetric fields (1970) (communicated).
Harrison, B. K.: Phys. Rev.138, B 488 (1965).
Misra, M., Radhakrishna, L.: Proc. Nat. Inst. Sci. India A28, 632 (1962).
Misra, R. M.: Phys. Rev. (1970). To appear.
Weyl, H.: Ann. Physik,54, 117 (1917); Majumdar, S. D.: Phys. Rev.72, 390 (1947); Bonnor, W. B.: Proc. Phys. Soc. A66, 145 (1953) and references 3 and 4.
Eisenhart, L. P.: Riemannian geometry. Princeton, N. J.: Princeton University Press 1949.
This transformation may be looked upon as the “duality rotation” of Misner and Wheeler (Misner, C. W., Wheeler, J. A.: Ann. Phys.2, 525 (1957)). We may take the electromagnetic field to be purely electric or purely magnetic by choosingA orB to be zero, respectively.
Misra, M.: Ann. Inst. Henri Poincaré7, 245 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Misra, R.M., Pandey, D.B. Electromagnetic solutions of the field equations in presence of zeromass mesons. Commun.Math. Phys. 20, 324–331 (1971). https://doi.org/10.1007/BF01646627
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01646627