Proof that static stellar models are spherical

DOI10.1007/s10714-006-0364-4zbMath1157.83313OpenAlexW2081701881MaRDI QIDQ995872

A. K. M. Masood-ul-Alam

Publication date: 10 September 2007

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10714-006-0364-4

zbMATH Keywords

Positive mass theoremStatic starsSymmetry of solutions of PDE

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Galactic and stellar structure (85A15) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (12)

Are there any models with homogeneous energy density? ⋮ Approximate perfect fluid solutions with quadrupole moment ⋮ OV or TOV? ⋮ Static perfect fluid spacetimes on GRW spacetimes ⋮ An analysis of symmetry groups of generalized $m$-quasi-Einstein manifolds ⋮ Axially symmetric static sources of gravitational field ⋮ Static perfect fluid space-time on contact metric manifolds ⋮ On the asymptotic behavior of static perfect fluids ⋮ Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land ⋮ On the fluid ball conjecture ⋮ Static perfect fluids with Pant-Sah equations of state ⋮ Generating static perfect-fluid solutions of Einstein’s equations

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