Riccati equations for bounded radiating systems

DOI10.1063/1.4961929zbMath1350.83007arXiv1612.08518OpenAlexW2950496618MaRDI QIDQ2825550

Ajey K. Tiwari, R. Mohanlal, R. Narain, Sunil D. Maharaj

Publication date: 13 October 2016

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

Full work available at URL: https://arxiv.org/abs/1612.08518

zbMATH Keywords

nonlinear differential equationsRiccati equationsLie algebrasgravitationgeneral relativitypartial differential equationsstellar models

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Galactic and stellar structure (85A15) Exact solutions to problems in general relativity and gravitational theory (83C15) Lie algebras of linear algebraic groups (17B45)

Related Items (4)

Lie symmetries, Painlevé analysis, and global dynamics for the temporal equation of radiating stars ⋮ Nonlinear equations in radiating stellar structures ⋮ Junction conditions for composite matter in higher dimensions ⋮ Bifurcations of the Riccati Quadratic Polynomial Differential Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Collapsing shear-free radiating fluid spheres
• Lie symmetries for a conformally flat radiating star
• A general class of Euclidean stars
• Space-time inhomogeneity, anisotropy and gravitational collapse
• Collapsing spheres satisfying an ``Euclidean condition
• Radiating stars with exponential Lie symmetries
• Generalized Euclidean stars with equation of state
• Relativistic collapsing radiating stars
• Impact of anisotropic stresses during dissipative gravitational collapse
• A different approach to anisotropic spherical collapse with shear and heat radiation
• Shearing radiative collapse with expansion and acceleration
• THERMAL BEHAVIOR OF EUCLIDEAN STARS
• NON-ADIABATIC GRAVITATIONAL COLLAPSE OF A SUPERDENSE STAR
• THE ROLE OF THE ELECTROMAGNETIC FIELD IN DISSIPATIVE COLLAPSE
• LIE, a PC program for Lie analysis of differential equations

This page was built for publication: Riccati equations for bounded radiating systems