Mathematics – Mathematical Physics
Scientific paper
Oct 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aipc.1396..196h&link_type=abstract
VIII WORKSHOP OF THE GRAVITATION AND MATHEMATICAL PHYSICS DIVISION OF THE MEXICAN PHYSICAL SOCIETY. AIP Conference Proceedings,
Mathematics
Mathematical Physics
Galaxies, Lagrangian Field Theory, Einstein Field Equations, Partial Differential Equations, Stellar Content And Populations, Radii, Morphology And Overall Structure, Canonical Formalism, Lagrangians, And Variational Principles, Spacetime Topology, Causal Structure, Spinor Structure, Partial Differential Equations
Scientific paper
In this work we present a hydrodynamic-type model in order to study dark matter halos of galaxies. We start with the Einstein-Hilbert Lagrangian in which we have added a complex scalar field minimally coupled to the geometry. We consider that dark matter halos are well described by the Newtonian limit of this theory. This set of equations can be written in the form of Euler equations for a fluid by making a transformation, where the self-interaction potential of the fluid and a quantum-like potential is present. We study the Jeans' instability of the fluid which gives a limit for the unstable halos and is a way for computing the mass of the scalar field.
Hernández-Almada Alberto
Matos Tonatiuh
Rodriguez-Meza Mario A.
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