Towards a full general relativistic approach to galaxies

We analyse the dynamics of a single disk galaxy from a general relativistic viewpoint. We investigate dark matter (DM) effects in terms of a known family of stationary axially-symmetric solutions of Einstein equations coupled to a rotating dust. These effects are generated by the non-Newtonian featu...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2022-06, Vol.82 (6), p.1-9, Article 554
Main Authors: Astesiano, Davide, Cacciatori, Sergio L., Gorini, Vittorio, Re, Federico
Format: Article
Language:English
Subjects:
Approximation
Astronomy
Astrophysics and Cosmology
Dark matter
Dark matter (Astronomy)
Differential rotation
Disk galaxies
Dust
Einstein equations
Elementary Particles
Galactic rotation
Galaxies
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativistic effects
Relativity
Rotating disks
Specific gravity
Stars & galaxies
String Theory
Velocity
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Summary:We analyse the dynamics of a single disk galaxy from a general relativistic viewpoint. We investigate dark matter (DM) effects in terms of a known family of stationary axially-symmetric solutions of Einstein equations coupled to a rotating dust. These effects are generated by the non-Newtonian features of such solutions and are ascribed to the essential role of frame dragging. Indeed, in such models, the off-diagonal elements of the metric are, in general, of the same order of magnitude of the diagonal ones. We generalize the results of Balasin and Grumiller (BG) to the physical case of differentially rotating dust. In particular, we find that for differential rotation the amount of energy density required to account for the flat rotation curves of disk galaxies is reduced with respect to the BG rigid rotation case. This stresses the discrepancy between Newtonian gravity and general relativity (GR), even at low velocities and low energy densities.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-022-10506-7