Reflection symmetries of isolated self-consistent stellar systems
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
An, J
Evans, NW
Sanders, JL
Abstract
© 2017 The Authors. Isolated, steady-state galaxies correspond to equilibrium solutions of the Poisson-Vlasov system. We show that (i) all galaxies with a distribution function (DF) depending on energy alone f(E) must be spherically symmetric, and (ii) all axisymmetric galaxies with a DF depending on energy and the angular momentum component parallel to the symmetry axis f(E, Lz) must also be reflection-symmetric about the plane z = 0. The former result is known, whilst the latter result is new. These results are subsumed into the Symmetry Theorem, which specifies how the symmetries of the DF in configuration or velocity space can control the planes of reflection symmetries of the ensuing stellar system.
Description
Keywords
galaxies, kinematics and dynamics-galaxies, structure
Journal Title
Monthly Notices of the Royal Astronomical Society
Conference Name
Journal ISSN
0035-8711
1365-2966
1365-2966
Volume Title
467
Publisher
Oxford University Press (OUP)
Publisher DOI
Rights
All rights reserved
Sponsorship
Science and Technology Facilities Council (ST/N000927/1)