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Field of a charged particle in the presence of scalar meson fields in general relativity

Published online by Cambridge University Press:  17 February 2009

D. R. K. Reddy  and
V. U. M. Rao
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Abstract

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Field equations for coupled gravitational and zero mass scalar fields in the presence of a point charge are obtained with the aid of a static spherically symmetric conformally flat metric. A closed from exact solution of the field equations is presented which may be considered as describing the field of a charged particle at the origin surrounded by the scalar meson field in a flat space-time.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 4 , April 1983 , pp. 461 - 465
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Bergmann, O. and Leipnik, R., “Space-time structure of a static spherically symmetric scalar field”, Phys. Rev. 107 (1957), 1157–1161.CrossRefGoogle Scholar
[2]Bramhachary, H., “A solution of the combined gravitational and meson field equations in general relativity”, Progr. Theoret. Phys. 23 (1960), 749–750.CrossRefGoogle Scholar
[3]Buchdahl, H. A., “Reciprocal static metrics and scalar fields in the general theory of relativity”, Phys. Rev. 115 (1959), 1325–1328.CrossRefGoogle Scholar
[4]Gautreau, R., “Coupled Weyl gravitational and zero-rest-mass scalar fields”, Nuovo Cimento B 62 (1969), 360–370.CrossRefGoogle Scholar
[5]Gurses, M., “Conformally flat solutions of Einstein-massless-scalar field equations”, Phys. Rev. D 15 (1977), 2731–2733.CrossRefGoogle Scholar
[6]Penney, R., “Axially symmetric zero-mass meson solutions of Einstein equations”, Phys. Rev. 174 (1968), 1578–1579.CrossRefGoogle Scholar
[7]Penney, R., “Generalization of the Reissner-Nordstrom solution to the Einstein field equations”, Phys. Rev. 182 (1969), 1383–1384.CrossRefGoogle Scholar
[8]Penney, R., “Conformally flat zero-mass meson solutions of Einstein equations”, Phys. Rev. D 14 (1975), 910–911.CrossRefGoogle Scholar
[9]Rao, J. R., Roy, A. R. and Tiwari, R. N., “A class of exact solutions for coupled electromagnetic and scalar fields for Einstein-Rosen metric”, Ann. Physics 69 (1972), 473–486.CrossRefGoogle Scholar
[10]Ray, D., “Scalar meson fields in a conformally flat space”, J. Math. Phys. 18(1977), 1899–1901CrossRefGoogle Scholar
[11]Roy, A. R. and Datta, C. R., “Time dependent axially symmetric solutions of the EinsteinMaxwell-Yulcawa fields”, Commun. Math. Phys. 29 (1973), 285–292.CrossRefGoogle Scholar
[12]Roy, A. R. and Rao, J. R., “Non-existence of axially symmetric massive scalar fields”, Comm. Math. Phys. 27 (1972), 162–166.CrossRefGoogle Scholar
[13]Stephenson, G., “A static spherically symmetric solution of the Einstein-Maxwell-Yukawa field equations”, Proc. Cambridge Philos. Soc. 58 (1962), 521–526.CrossRefGoogle Scholar