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The gravitational field of a radiating star

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Summary

A star of mass M and radiusr 0 is supposed to start radiating at timet 0. The zone of radiation extends tor=r 1 at a later instantt=t 1. The energy tensor for the radiation zone, describing the directed flow of radiation, is evaluated and a relativistic line-element representing the field of radiation forr 0 ⩽r ⩽r 1 and correspondingt 0 ⩽t ⩽t 1 is obtained. It is shown that certain quantitiesm,v 1,r 2 ρ, etc., are conserved in the field along a world-line of flow. Atr=r 0,t=t 0 and atr=r 1,t=t 1, the line-element reduces to Schwarzschild’s static form for a mass M. The conservation of energy is verified. The electro-magnetic potential K μ of this field has already been obtained elsewhere.

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Authors and Affiliations

  1. Springer Research Scholar, Bombay University, India

    P. C. Vaidya

  2. V. P. Mahavidya.av4 av Vallabh Vidyanagar, Anand

    P. C. Vaidya

Authors
  1. P. C. Vaidya
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Additional information

Communicated by Prof. V. V. Narlikar,f.a.sc.

The treatment as given here is essentially different from that of Professor H. Mineur as it appears inAnn. de l’Ecole Normale Superieure, Ser. 3, 5, 1, 1933. Our attention was kindly drawn to it by Professor Mineur some years ago. —V. V. N. 23-4-1950.

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Vaidya, P.C. The gravitational field of a radiating star. Proc. Indian Acad. Sci. (Math. Sci.) 33, 264 (1951). https://doi.org/10.1007/BF03173260

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  • DOI: https://doi.org/10.1007/BF03173260

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