On unbounded bodies with finite mass: asymptotic behaviour

Details On unbounded bodies with finite mass: asymptotic behaviour On unbounded bodies with finite mass: asymptotic behaviour

2000-11-10

arxiv.org/abs/gr-qc/0011036v1

Class.Quant.Grav. 18 (2001) 671-676

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages

Scientific paper

10.1088/0264-9381/18/4/307

There is introduced a class of barotropic equations of state (EOS) which become polytropic of index $n = 5$ at low pressure. One then studies asymptotically flat solutions of the static Einstein equations coupled to perfect fluids having such an EOS. It is shown that such solutions, in the same manner as the vacuum ones, are conformally smooth or analytic at infinity, when the EOS is smooth or analytic, respectively.

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