Mirror planes in Newtonian stars with stratified flows

Details Mirror planes in Newtonian stars with stratified flows Mirror planes in Newtonian stars with stratified flows

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jmp....18.2352l&link_type=abstract

Journal of Mathematical Physics, vol. 18, Dec. 1977, p. 2352-2355.

Astronomy and Astrophysics

Astrophysics

2

Astrophysics, Newton Theory, Stellar Models, Stratified Flow, Symmetry, Cartesian Coordinates, Chords (Geometry), Flow Velocity, Relativity, Stellar Structure, Theorem Proving

Scientific paper

This paper shows that a certain class of Newtonian stellar models must possess a plane of mirror symmetry. A corollary of this result is that static Newtonian stars must be spherical. The new features of the results given here are than (1) the assumptions about the velocity distribution of the fluid are weaker than previous treatments, and (2) the method of proof given here does not depend as strongly on the linearity of the gravitational field equations as the previously published treatments. Therefore, this proof may serve as a model for a general relativistic generalization of the mirror plane theorem.

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