NON-NEWTONIAN BEHAVIOR IN WEAK FIELD GENERAL RELATIVITY FOR EXTENDED ROTATING SOURCES-Reference-Cited by-同舟云学术

NON-NEWTONIAN BEHAVIOR IN WEAK FIELD GENERAL RELATIVITY FOR EXTENDED ROTATING SOURCES

Published:2008-03 Issue:03n04 Volume:17 Page:475-488
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

BALASIN H.¹,GRUMILLER D.²

Affiliation:

1. Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstr. 8-10/136, A-1040 Vienna, Austria

2. Massachusetts Institute of Technology, 77 Massachusetss Ave, Cambridge, MA 02139, USA

Abstract

Exact stationary axially symmetric solutions to the four-dimensional Einstein equations with corotating pressureless perfect fluid sources are studied. A particular solution with an approximately flat rotation curve is discussed in some detail. We find that simple Newtonian arguments overestimate the amount of matter needed to explain such curves by more than 30%. The crucial insight gained by this model is that the Newtonian approximation breaks down in an extended rotating region, even though it is valid locally everywhere. No conflict with solar system tests arises.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271808012140

Reference17 articles.

1. Rotational properties of 21 SC galaxies with a large range of luminosities and radii, from NGC 4605 /R = 4kpc/ to UGC 2885 /R = 122 kpc/

2. 21-cm line studies of spiral galaxies. I - Observations of the galaxies NGC 5033, 3198, 5055, 2841, and 7331. II - The distribution and kinematics of neutral hydrogen in spiral galaxies of various morphological types

3. The universal rotation curve of spiral galaxies — I. The dark matter connection

4. A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis

5. Can Galactic Observations Be Explained by a Relativistic Gravity Theory?

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