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Birkhoff's theorem fails to save MOND from non-local physics · Around

2008

Birkhoff's theorem fails to save MOND from non-local physics

Dai, De-Chang, Matsuo, Reijiro, Starkman, Glenn

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We investigate the consequences of Birkhoff's theorem in general relativity (GR) and in Modified Newtonian dynamics (MOND).

We study, in particular, the system of a finite-mass test particle inside a spherical shell.
In both GR and MOND, we find non-vanishing acceleration for that test particle.
The direction of the acceleration is such that it pushes the test particle toward the center of the shell.

Built on

Mordehai Milgrom, Astrophys. J. 270: 365-370, 1983
1983
Earlier work this paper cites.
Mordehai Milgrom, Astrophys. J. 270: 371-383, 1983
1983
Earlier work this paper cites.
Mordehai Milgrom, Astrophys. J. 270: 384-389, 1983
1983
Earlier work this paper cites.

Similar

Jacob Bekenstein and Mordehai Milgrom, Astrophys. J. 286: 7-14, 1984
1984
Cited alongside, same era.
Mordehai Milgrom, Astrophys. J. 302: 617-625, 1986
1986
Cited alongside, same era.
Begeman K.,Broeils A. and Sanders R., Mon.Not.Roy.Astron.Soc. 249: 523-537, 1991
1991
Cited alongside, same era.
Charles W. Misner, Kip S. Thorne, John Archibald Wheeler: exercise 39.15, ”Graviation”, ISBN 0-7167-0334-3
Cited in the paper.

Then

Robert H. Sanders and Stacy S. McGaugh, Ann. Rev. Astron. Astrophys. 40:263-317, 2002, astro-ph/0204521
2002
Later among the works it cites.
Jacob Bekenstein, Phys. Rev. D70, 083509, 2004, astro-ph/0403694
2004
Later among the works it cites.
Benoit Famaey and James Binney, Mon.Not.Roy.Astron.Soc.363: 603-608, 2005
2005
Later among the works it cites.

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