Towards a full general relativistic approach to galaxies

Abstract

We analyze the dynamics of a single spiral galaxy from a general relativistic viewpoint. We employ the known family of stationary axially-symmetric solutions to Einstein gravity coupled with dust in order to model the halo external to the bulge. In particular, we generalize the known results of Balasin and Grumiller, relaxing the condition of co-rotation, thus including non co-rotating dust. This further highlights the discrepancy between Newtonian theory of gravity and general relativity at low velocities and energy densities. We investigate the role of dragging in simulating dark matter effects. In particular, we show that non co-rotance further reduce the amount of energy density required to explain the rotation curves for spiral galaxies.

13 pages

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• Can General Relativity play a role in galactic dynamics?
• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
• Rigid rotation in GR and a generalization of the virial theorem
• Pitfalls in applying gravitomagnetism to galactic rotation curve modelling
• Stationary rotating and axially symmetric dust systems as peculiar General Relativistic objects
• Quasilocal Newtonian limit of general relativity and galactic dynamics
• Topological constraints on general relativistic galaxies: Exploring novel conical singularity networks
• On the low-energy limit of stationary and axisymmetric solutions in General Relativity
• The need for a nonlocal expansion in general relativity
• Non zero Coriolis field in Ehlers' Frame Theory
• Axisymmetric Solutions to Einstein Field Equations via Integral Transforms
• Gravitational lensing observables in stationary and axisymmetric solutions in general relativity