Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

Abstract

We study equilibrium states in relativistic galactic dynamics which are described by solutions of the Einstein-Vlasov system for collisionless matter. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a bounded state space. Based on a dynamical systems analysis we derive new theorems that guarantee that the steady state solutions have finite radii and masses.

25 pages, 1 figure

References in corpus (3)

• Spherically symmetric relativistic stellar structures
• Newtonian Stellar Models
• Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system

Cited by in corpus (9)

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• The Einstein-Vlasov System/Kinetic Theory
• Cracking of general relativistic anisotropic polytropes
• Bianchi Cosmologies with Anisotropic Matter: Locally Rotationally Symmetric Models
• Spherically symmetric equilibria for self-gravitating kinetic or fluid models in the non-relativistic and relativistic case - A simple proof for finite extension
• Existence of axially symmetric static solutions of the Einstein-Vlasov system
• Asymptotic behavior and orbital stability of galactic dynamics in relativistic scalar gravity
• Cosmological global dynamical systems analysis
• Virial inequalities for steady states in relativistic galactic dynamics