Liouvillian integrability of gravitating static isothermal fluid spheres

DOI10.1063/1.4897213zbMath1366.83018OpenAlexW2028123347MaRDI QIDQ2928102

Jaume Llibre, Roberto Iacono

Publication date: 6 November 2014

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

Full work available at URL: http://ddd.uab.cat/record/150678

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (2)

Static spherically symmetric Einstein-æther models. II: Integrability and the modified Tolman-Oppenheimer-Volkoff approach ⋮ The general static spherical solution with EoS parameter w = −1/5

Cites Work

• Unnamed Item
• Multiplicity of invariant algebraic curves in polynomial vector fields
• Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations
• Qualitative theory of planar differential systems
• Liouvillian First Integrals of Differential Equations
• Integrable cases of gravitating static isothermal fluid spheres
• Static Solutions of Einstein's Field Equations for Spheres of Fluid

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