Physics
Scientific paper
Jul 1951
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1951phrv...83...10v&link_type=abstract
Physical Review, vol. 83, Issue 1, pp. 10-17
Physics
49
Scientific paper
The energy tensor for a mixture of matter and outflowing radiation is derived, and a set of equations following from Einstein's field equations are written down whose solutions would represent nonstatic radiating spherical distributions. A few explicit analytical solutions are obtained, which describe a distribution of matter and outflowing radiation for r<=a(t), an ever-expanding zone of pure radiation for a(t)<=r<=b(t) and empty space beyond r=b(t). Since db(t)dt is almost equal to 1 and da(t)dt is negative, the solutions obtained represent contracting distributions, but the contraction is not gravitational because mr is a constant on the boundary r=a(t), m being the mass. The contraction is a purely relativistic effect, the corresponding newtonian distributions being equilibrium distributions. It is hoped that the scheme developed here will be useful in working out solutions which would help in a clear understanding of the initial or the final stages of stellar evolution.
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