Introduction to General Relativity and Cosmology by Christian G. Böhmer
Author:Christian G. Böhmer
Language: eng
Format: epub
Publisher: World Scientific Publishing Europe Ltd.
Published: 2017-12-12T16:00:00+00:00
This equation has one particularly neat implication which has no equivalent in Newtonian astrophysics. Let us solve this equation for the central pressure pc, we find
which puts a constraint on the mass–radius ratio of our star provided we assume pc < ∞. A condition of this form is physically sensible, we would like to describe the centre of an astrophysical object with some regular form of matter, in particular we wish to require that all physical quantities are finite. For the central pressure to be finite means that the denominator of Eq. (3.42) must be larger than zero which implies
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