Invariant algebraic surfaces for generalized Raychaudhuri equations

DOI10.1007/s00220-011-1321-yzbMath1252.83073OpenAlexW1966319436MaRDI QIDQ647385

Claudia Valls

Publication date: 23 November 2011

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

Full work available at URL: https://doi.org/10.1007/s00220-011-1321-y

Mathematics Subject Classification ID

Relativistic cosmology (83F05) String and superstring theories in gravitational theory (83E30) Explicit solutions, first integrals of ordinary differential equations (34A05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Space-time singularities, cosmic censorship, etc. (83C75)

Related Items (16)

Liouvillian integrability versus Darboux polynomials ⋮ On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ On the complete integrability of the Raychaudhuri differential system in \(\mathbb {R}^4\) and of a CRNT model in \(\mathbb {R}^5\) ⋮ Invariant Algebraic Surfaces and Hopf Bifurcation of a Finance Model ⋮ New insights on non-integrability and dynamics in a simple quadratic differential system ⋮ On a simple model for describing convection of the rotating fluid: integrability, bifurcations and global dynamics ⋮ Seeking Darboux polynomials ⋮ Generalized involutive symmetry and its application in integrability of differential systems ⋮ Rational Integrability of the Maxwell–Bloch System ⋮ On the integrability of the SIR epidemic model with vital dynamics ⋮ Invariant algebraic surfaces of the FitzHugh-Nagumo system ⋮ Darboux integrability of the stretch-twist-fold flow ⋮ On the global dynamics of the Newell–Whitehead system ⋮ Dynamical Analysis of Raychaudhuri Equations Based on the Localization Method of Compact Invariant Sets ⋮ Darbouxian integrals for generalized Raychaudhuri equations ⋮ The Raychaudhuri equation for spinning test particles

Cites Work

• Unnamed Item
• Unnamed Item
• KINEMATICS OF FLOWS ON CURVED, DEFORMABLE MEDIA
• Integrability of the Bianchi IX system
• Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method

This page was built for publication: Invariant algebraic surfaces for generalized Raychaudhuri equations