Relativistic effects cannot explain galactic dynamics
arXiv:2312.12302 · doi:10.1103/PhysRevD.110.064056
Abstract
It has been suggested in recent literature that nonlinear and/or gravitomagnetic general relativistic effects can play a leading role in galactic dynamics, partially or totally replacing dark matter. Using the 1+3 "quasi-Maxwell" formalism, we show, on general grounds, such hypothesis to be impossible.
arXiv comment14 pages, 8 figures. Improved version with new Figs 4 and 8 (lensing images obtained with the GYOTO ray-tracing code), updated Fig. 3, a sharper version of the main proof, improved structure, improved and extended explanations, references added. Matches the final published version
References in corpus (51)
- Schwarzschild black hole lensing
- Relativistic images of Schwarzschild black hole lensing
- Applications of the Gauss-Bonnet theorem to gravitational lensing
- The distribution of dark matter in galaxies
- Gravitational bending angle of light for finite distance and the Gauss-Bonnet theorem
- The Many Faces of Gravitoelectromagnetism
- Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra
- Quasi-Equatorial Gravitational Lensing by Spinning Black Holes in the Strong Field Limit
- Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes
- GYOTO: a new general relativistic ray-tracing code
- The Importance of Einstein Rings
- Deflection of light by rotating regular black holes using the Gauss-Bonnet theorem
- Gravitational Lensing by Spinning Black Holes in Astrophysics, and in the Movie Interstellar
- The Cosmic Horseshoe: Discovery of an Einstein Ring around a Giant Luminous Red Galaxy
- The X-Shooter Lens Survey - I. Dark-Matter Domination and a Salpeter-type IMF in a Massive Early-type Galaxy
- Einstein rings modulated by wavelike dark matter from anomalies in gravitationally lensed images
- Analytical Kerr black hole lensing in the weak deflection limit
- The intrinsic derivative and centrifugal forces in general relativity: I. Theoretical foundations
- Gravito-electromagnetic analogies
- Non-Newtonian behavior in weak field general relativity for extended rotating sources
- Strong Gravitational Lensing by Schwarzschild Black Holes
- Optical caustics of Kerr spacetime: the full structure
- A complete infrared Einstein ring in the gravitational lens system B1938+666
- Testing dark matter and geometry sustained circular velocities in the Milky Way with Gaia DR2
- Gravitational lensing by stars with angular momentum
- SHARP - I. A high-resolution multi-band view of the infra-red Einstein ring of JVAS B1938+666
- Can we see a rotating gravitational lens?
- Intrinsic definitions of "relative velocity" in general relativity
- The inner dark matter distribution of the Cosmic Horseshoe (J1148+1930) with gravitational lensing and dynamics
- Galactic dark matter effects from purely geometrical aspects of General Relativity
- Post-Newtonian Approximation in Maxwell-Like Form
- Weak lensing in the second post-Newtonian approximation: Gravitomagnetic potentials and the integrated Sachs-Wolfe effect
- Primary caustics and critical points behind a Kerr black hole
- Can General Relativity play a role in galactic dynamics?
- On the rotation curve of disk galaxies in General Relativity
- General relativistic dynamics applied to the rotation curves of galaxies
- Galactic Dynamics in General Relativity: the Role of Gravitomagnetism
- General-relativistic rotation laws in rotating fluid bodies
- Quasi-Maxwell interpretation of the spin-curvature coupling
- Application of the Gauss-Bonnet theorem to lensing in the NUT metric
- Zooming into the Cosmic Horseshoe: new insights on the lens profile and the source shape
- Possible connection between the reflection symmetry and existence of equatorial circular orbit
- Pitfalls in applying gravitomagnetism to galactic rotation curve modelling
- Rotating systems, universal features in dragging and anti-dragging effects, and bounds onto angular momentum
- Reference frames in General Relativity and the galactic rotation curves
- Gravitomagnetism in the Lewis cylindrical metrics
- Einstein ring: Weighing a star with light
- Total light bending in non-asymptotically flat black hole spacetimes
- General relativistic analogs of Poisson's equation and gravitational binding energy
- The Gravito-Electromagnetic Approximation to the Gravimagnetic Dipole and its Velocity Rotation Curve
- Formation of a Kerr black hole from two stringy NUT objects