On the uniqueness of static perfect-fluid solutions in general relativity

DOI10.1007/BF02101098zbMath0760.53043MaRDI QIDQ1189229

Robert Beig, Walter Simon

Publication date: 26 September 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

uniqueness problemEinstein equationsperfect-fluid

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (18)

On the spherical symmetry of static stellar models ⋮ On existence of matter outside a static black hole ⋮ Static Black Hole Uniqueness for nonpositive masses ⋮ On the mass of static metrics with positive cosmological constant: I ⋮ A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids ⋮ Uniqueness of Kottler spacetime and the Besse conjecture ⋮ (In)finite extent of stationary perfect fluids in Newtonian theory ⋮ Uniqueness of static, isotropic low-pressure solutions of the Einstein-Vlasov system ⋮ On the uniqueness of Schwarzschild-de Sitter spacetime ⋮ Symmetry results for Serrin-type problems in doubly connected domains ⋮ Static perfect fluid space-time on contact metric manifolds ⋮ On the asymptotic behavior of static perfect fluids ⋮ Towards the classification of static vacuum spacetimes with negative cosmological constant ⋮ Proof that static stellar models are spherical ⋮ On the fluid ball conjecture ⋮ A remark about static space times ⋮ Static perfect fluids with Pant-Sah equations of state ⋮ On the mass of static metrics with positive cosmological constant: II.

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