Non-Newtonian behavior in weak field general relativity for extended rotating sources

Details Non-Newtonian behavior in weak field general relativity for extended rotating sources Non-Newtonian behavior in weak field general relativity for extended rotating sources

2006-02-23

arxiv.org/abs/astro-ph/0602519v3

Int.J.Mod.Phys.D17:475-488,2008

Astronomy and Astrophysics

Astrophysics

14 pp, 4 eps figures; v3: considerably extended version with added explanations and references, changed title, invited contrib

Scientific paper

10.1142/S0218271808012140

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.

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