Vogt–Russell theorem

Vogt-Russell theorem is a hypothesis in Stellar astrophysics stating that the structure of a star in hydrostatic and thermal equilibrium is determined solely by its total mass and chemical composition. The idea dates back to 1926 when Heinrich Vogt (astronomer) formulated the theorem with internal communications and seminars. Its first publication only appeared in 1931. Independently, Henry Norris Russell developed the same theorem in the early 1930s.

As numerical modelling techniques improved, researchers discovered that the relationship is not universal and that the equations of stellar structure can yield multiple solutions for the same set of global parameters. Thus, the “theorem” is treated today as a local approximation, valid mainly for main-sequence stars and under physical conditions without extreme effects.

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