On claims that general relativity differs from Newtonian physics for self-gravitating dusts in the low velocity, weak field limit

Rowland, David R. (2015) On claims that general relativity differs from Newtonian physics for self-gravitating dusts in the low velocity, weak field limit. International Journal of Modern Physics D, 24 8: . doi:10.1142/S0218271815500650


Author Rowland, David R.
Title On claims that general relativity differs from Newtonian physics for self-gravitating dusts in the low velocity, weak field limit
Journal name International Journal of Modern Physics D   Check publisher's open access policy
ISSN 0218-2718
1793-6594
Publication date 2015-06-09
Sub-type Article (original research)
DOI 10.1142/S0218271815500650
Open Access Status Not yet assessed
Volume 24
Issue 8
Total pages 14
Place of publication Singapore, Singapore
Publisher World Scientific Publishing
Collection year 2016
Language eng
Abstract Galaxy rotation curves are generally analyzed theoretically using Newtonian physics; however, two groups of authors have claimed that for self-gravitating dusts, general relativity (GR) makes significantly different predictions to Newtonian physics, even in the weak field, low velocity limit. One group has even gone so far as to claim that nonlinear general relativistic effects can explain flat galactic rotation curves without the need for cold dark matter. These claims seem to contradict the well-known fact that the weak field, low velocity, low pressure correspondence limit of GR is Newtonian gravity, as evidenced by solar system tests. Both groups of authors claim that their conclusions do not contradict this fact, with Cooperstock and Tieu arguing that the reason is that for the solar system, we have test particles orbiting a central gravitating body, whereas for a galaxy, each star is both an orbiting body and a contributor to the net gravitational field, and this supposedly makes a difference due to nonlinear general relativistic effects. Given the significance of these claims for analyses of the flat galactic rotation curve problem, this article compares the predictions of GR and Newtonian gravity for three cases of self-gravitating dusts for which the exact general relativistic solutions are known. These investigations reveal that GR and Newtonian gravity are in excellent agreement in the appropriate limits, thus supporting the conventional use of Newtonian physics to analyze galactic rotation curves. These analyses also reveal some sources of error in the referred to works.
Keyword Newtonian limit of general relativity
Galactic rotation curves
Self-gravitating dusts in general relativity
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: UQ staff Publications
Official 2016 Collection
 
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