Galactic dynamics in MOND -- existence of equilibria with finite mass and compact support

DOI10.3934/krm.2015.8.381zbMath1328.35243arXiv1312.3765OpenAlexW2963916087MaRDI QIDQ888734

Gerhard Rein

Publication date: 2 November 2015

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3765

zbMATH Keywords

Vlasov equationgalactic dynamicssteady statesfinite massmodified Newtonian dynamics

Mathematics Subject Classification ID

PDEs in connection with relativity and gravitational theory (35Q75) Galactic and stellar structure (85A15) Vlasov equations (35Q83)

Related Items (1)

Mass-radius spirals for steady state families of the Vlasov-Poisson system

Cites Work

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• Orbital stability of spherical galactic models
• Stationary spherically symmetric models in stellar dynamics
• Stable steady states in stellar dynamics
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• A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
• Spherically Symmetric Equilibria for Self-Gravitating Kinetic or Fluid Models in the Nonrelativistic and Relativistic Case---A Simple Proof for Finite Extension
• Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics
• On the gravitational potential of modified Newtonian dynamics

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