Quasilocal Newtonian limit of general relativity and galactic dynamics
arXiv:2408.00358 · doi:10.1088/1361-6382/ade48b
Abstract
We present a new self-consistent perturbative expansion for realistic isolated differentially rotating systems -- disc galaxies. At leading order it is formally equivalent to Ehlers' Newton-Cartan limit, which we reinterpret in terms of quasilocal energy and angular momentum. The self-consistent coupling of these quasilocal terms leads to first-order differences from the conventional Newtonian limit. A modified Poisson equation is obtained, along with modifications to the equations of motion for the effective fluid elements. By fitting to astrophysical data, we show that the phenomenology of collisionless dark matter for disc galaxies can be reproduced. Potential important consequences for gravitational physics on galactic and cosmological scales are briefly discussed.
arXiv comment15 pages, 3 figures; v2: Clarifications and appendix added; v3: Discussion of Ehlers' Newton-Cartan limit added, matches published version
References in corpus (32)
- The Confrontation between General Relativity and Experiment
- A direct empirical proof of the existence of dark matter
- Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
- Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
- On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
- Cosmic clocks, cosmic variance and cosmic averages
- Disentangling Baryons and Dark Matter in the Spiral Gravitational Lens B1933+503
- What is dust? - Physical foundations of the averaging problem in cosmology
- Status of Dark Matter in the Universe
- The SWELLS survey. II. Breaking the disk-halo degeneracy in the spiral galaxy gravitational lens SDSS J2141-0001
- Computing General Relativistic effects from Newtonian N-body simulations: Frame dragging in the post-Friedmann approach
- A Milky Way with a massive, centrally concentrated thick disc: new Galactic mass models for orbit computations
- Non-Newtonian behavior in weak field general relativity for extended rotating sources
- Cosmological equivalence principle and the weak-field limit
- Indefinitely Flat Circular Velocities and the Baryonic Tully-Fisher Relation from Weak Lensing
- On average properties of inhomogeneous fluids in general relativity III: general fluid cosmologies
- Testing dark matter and geometry sustained circular velocities in the Milky Way with Gaia DR2
- Gravitational lensing in metric theories of gravity
- Gravitational lensing by stars with angular momentum
- Stars and dark matter in the spiral gravitational lens 2237+0305
- Parameterized Post-Newtonian Cosmology
- Can we see a rotating gravitational lens?
- Galactic dark matter effects from purely geometrical aspects of General Relativity
- The fully non-linear post-Friedmann frame-dragging vector potential: Magnitude and time evolution from N-body simulations
- Models of modified-inertia formulation of MOND
- Towards a full general relativistic approach to galaxies
- Can General Relativity play a role in galactic dynamics?
- Cosmological perturbation theory, instantaneous gauges and local inertial frames
- On the rotation curve of disk galaxies in General Relativity
- Radial acceleration relation of galaxies with joint kinematic and weak-lensing data
- Stationary rotating and axially symmetric dust systems as peculiar General Relativistic objects
- Non zero Coriolis field in Ehlers' Frame Theory