# General Relativity Resolves Galactic Rotation Without Exotic Dark Matter

@article{Cooperstock2005GeneralRR, title={General Relativity Resolves Galactic Rotation Without Exotic Dark Matter}, author={Fred I. Cooperstock and Steven Tieu}, journal={arXiv: Astrophysics}, year={2005} }

A galaxy is modeled as a stationary axially symmetric pressure-free fluid in general relativity. For the weak gravitational fields under consideration, the field equations and the equations of motion ultimately lead to one linear and one nonlinear equation relating the angular velocity to the fluid density. It is shown that the rotation curves for the Milky Way, NGC 3031, NGC 3198 and NGC 7331 are consistent with the mass density distributions of the visible matter concentrated in flattened…

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## References

SHOWING 1-10 OF 15 REFERENCES

Developments in general relativity, astrophysics and quantum theory : a jubilee volume in Honour of Nathan Rosen

- Physics
- 1990

Part 1 Foundations: In honour of Professor Nathan Rosen, J.L.Synge conceptual aspects of general relativity and the Einstein Rosen bridge, P.G.Bergman self-generating universe, J.Rosen. Part 2…

Galactic Dynamics

- Physics
- 2005

Two of the world’s leading astrophysicists, James Binney and Scott Tremaine, here present a comprehensive review of the theory of galactic dynamics at a level suitable for both graduate students and…

Developments in General Relativity

- Astrophysics and Quantum Theory. Eds. F.I. Cooperstock, L.P. Horwitz and J. Rosen. IOP Publishing Ltd,
- 1983

Proc. R. Soc. Edin

- Proc. R. Soc. Edin
- 1937

J. Phys. A: Math. Gen

- J. Phys. A: Math. Gen
- 1673

The Dynamics, Structure and History of Galaxies, ASP Conference Series

- Dark Matter in Galaxies, IAU Symp.,
- 2002

The Dynamics, Structure and History of Galaxies, ASP Conference Series Eds

- Bosma, A. 2003 Dark Matter in Galaxies
- 2002

Ap. J

- Ap. J
- 2001

Astron. J

- Astron. J
- 1987

Galactic Dynamics Princeton University Press

- 1987