On the spherical symmetry of static perfect fluids in general relativity

DOI10.1007/BF00420375zbMath0719.53050MaRDI QIDQ2640171

Walter Simon, Robert Beig

Publication date: 1991

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

zbMATH Keywords

uniquenessspherical symmetryperfect-fluid models

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) PDEs in connection with relativity and gravitational theory (35Q75) Applications of local differential geometry to the sciences (53B50)

Related Items (7)

On the spherical symmetry of static stellar models ⋮ Static perfect fluid space-time on contact metric manifolds ⋮ On the asymptotic behavior of static perfect fluids ⋮ On the uniqueness of static perfect-fluid solutions in general relativity ⋮ Proof that static stellar models are spherical ⋮ On the fluid ball conjecture ⋮ Static perfect fluids with Pant-Sah equations of state

Cites Work

• A global analysis approach to the general relativistic fluid ball problem
• Proof of a multiple conjecture due to Geroch
• On the proof of the positive mass conjecture in general relativity
• Elliptic partial differential equations of second order
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• General Relativistic Fluid Spheres
• On Massive Neutron Cores
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