Abstract
The possibility of the existence of localized charged distribution giving rise to a special axially symmetric electrostatic field has been explored in Einstein's unified field theory [2]. The field equations have been studied in two particular cases. In one case the field equations have a solution representing flat space-time along with an electrostatic field which is constant in the direction of the axis of symmetry. For the other case the solution is non-existent.
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References
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Einstein, A. (1953).The Meaning of Relativity, 4th ed., (Princeton University Press, Princeton, N.J.), 130–165.
Ikeda, M. (1954).Prog. Theor. Phys.,12, 17–30.
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Pant, D.N. External field of a localized charge in unified field theory. Gen Relat Gravit 3, 29–33 (1972). https://doi.org/10.1007/BF00755919
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DOI: https://doi.org/10.1007/BF00755919