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Prog. Theor. Phys. Vol. 65 No. 4 (1981) pp. 1281-1289

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Einstein Cluster of Charged Particles

A. Banerjee and M. M. Som

Instituto de Fisica, U. F. R. J, Ilha do Fundao, Rio de Janeiro

(Received September 5, 1980)

Abstract:

It is shown that there cannot be a spherically symmetric cluster of charged particles in stationary equilibrium having the total amount of charge greater than or equal to the total mass. The result has been proved from the regularity conditions in the interior and the conditions of fit at the boundary with the exterior Reissner-Nordström metric. Further a reasonable model is given for a cluster of charged particles representing a conformally flat space-time.


URL : http://ptp.ipap.jp/link?PTP/65/1281/
DOI : 10.1143/PTP.65.1281

[ Full Text PDF : FREE ACCESS (285K) ] Citation:


References:

  1. A. Banerjee and D. Bhattacharya, J. of Phys. A 12 (1979), 71[CrossRef].
  2. J. D. Bekenstein, Phys. Rev. D 4 (1971), 2185[APS].
  3. A. Banerjee and M. M. Som, Int. J. Theor. Phys. (1981) (in press).
  4. W. B. Bonnor, Mon. Not. R. Astron. Soc. 129 (1965), 443.