Physics
Scientific paper
Sep 1950
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1950natur.166..565v&link_type=abstract
Nature, Volume 166, Issue 4222, pp. 565 (1950).
Physics
2
Scientific paper
WHILE studying various problems connected with the birth and later evolutionary stages of stars in the scheme of general relativity, situations are encountered where an infinite spherical distribution of matter suddenly collapses and forms a spherical distribution of finite radius which starts absorbing radiation. Such a `dark nebula' absorbing radiation cannot be surrounded by an isolated gravitational field tending to flat space-time at large distances because there is nothing in the empty space beyond to supply the energy which it absorbs. We have found spherically symmetric distributions of the form which represent fields of radiation flowing inwards towards the centre and which are such that, at any time t as r --> ∞, the line-element (1) goes off continuously to so that the source of the energy which the distribution absorbs is the cosmos; and we have the field representing the flow of cosmic radiation. One such line-element is given by Equations to determine µ and m are It will be found that m' = ðm/ðr will be expressible as a function of m and r only. The energy tensor is of the form The first two terms represent the material contents of the smoothed-out universe with The last term gives the inflow of radiation1,2, and σ is the energy density of the radiation.
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