Non-Newtonian behavior in weak field general relativity for extended rotating sources
Astrophysics
2008-11-26 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
Exact stationary axially symmetric solutions of the 4D Einstein equations with corotating pressureless perfect fluid sources are studied. A particular solution with approximately flat rotation curve is discussed in some detail. We find that simple Newtonian arguments overestimate the amount of matter needed to explain these curves by more than 30%. The crucial insight gained by this model is that the Newtonian approximation breaks down globally, even though it is valid locally everywhere. No conflict with solar system tests arises.
Keywords
Cite
@article{arxiv.astro-ph/0602519,
title = {Non-Newtonian behavior in weak field general relativity for extended rotating sources},
author = {H. Balasin and D. Grumiller},
journal= {arXiv preprint arXiv:astro-ph/0602519},
year = {2008}
}
Comments
14 pp, 4 eps figures; v3: considerably extended version with added explanations and references, changed title, invited contribution to IJMPD