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

Gerhard Rein

doi:10.3934/krm.2015.8.381

Article Contents

2015, Volume 8, Issue 2: 381-394. Doi: 10.3934/krm.2015.8.381

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

Gerhard Rein^1,

1.
Fakultät für Mathematik, Physik und Informatik, Universität Bayreuth, D-95440 Bayreuth

Received: September 2014

Revised: November 2014

Published online: March 2015

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Abstract

We consider a self-gravitating collisionless gas where the gravitational interaction is modeled according to MOND (modified Newtonian dynamics). For the resulting modified Vlasov-Poisson system we establish the existence of spherically symmetric equilibria with compact support and finite mass. In the standard situation where gravity is modeled by Newton's law the latter properties only hold under suitable restrictions on the prescribed microscopic equation of state. Under the MOND regime no such restrictions are needed.

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Mathematics Subject Classification: Primary: 35Q83, 35Q75; Secondary: 85A15.

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