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Stationary Cylindrically Symmetric Clusters of Particles in General Relativity

Published online by Cambridge University Press:  24 October 2008

A. K. Raychaudhuri  and
M. M. Som
A. K. Raychaudhuri
Affiliation:
Theoretical Physics Department Indian Association for the Cultivation of Science Jadavpur, Calcutta, India
M. M. Som
Affiliation:
Physics DepartmentCity CollegeCalcutta, India
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Abstract

The case of a cylindrically symmetric cluster of particles moving in circles perpendicular to the axis of symmetry is discussed on the basis of the equations of general relativity. A number of special solutions are obtained, and two interesting results on the relation between the gravitational mass and the sum of the free particle masses for these clusters are deduced.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 2 , April 1962 , pp. 338 - 345
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

(1)Einstein, A.Ann. of Math. 40 (1939), 921.CrossRefGoogle Scholar
(2)Gilbert, C.Monthly Not. Roy. Astr. Soc. 114 (1954), 628.CrossRefGoogle Scholar
(3)Göodel, K.Rev. Mod. Phys. 21 (1949), 447.CrossRefGoogle Scholar
(4)Köohler, V. M.Ann. Physik, 16 (1933), 129.CrossRefGoogle Scholar
(5)Marder, L.Proc. Roy. Soc. London. Ser. A, 244 (1958), 524.Google Scholar
(6)Raychaudhuri, A.Proc. Phys. Soc. 72 (1958), 263.CrossRefGoogle Scholar
(7)Synge, J. LRelativity, the general theory (North-Holland Publishing Co.; Amsterdam, 1960).Google Scholar