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

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

H. Balasin
(
- Vienna, Tech. U.
)
,
Daniel Grumiller
(
- Leipzig U.
)

Feb, 2006

11 pages

Published in:

Int.J.Mod.Phys.D 17 (2008) 475-488

e-Print:

astro-ph/0602519 [astro-ph]

DOI:

10.1142/S0218271808012140

Report number:

LU-ITP-2006-002

View in:

ADS Abstract Service

reference search65 citations

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Abstract: (arXiv)

Exact stationary axially symmetric solutions of the 4D Einstein equations with co-rotating 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 over-estimate 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.

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References(30)

Figures(0)

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/

- Astrophys.J. 238 (1980) 471
•
DOI:
- 10.1086/158003

- Astron.J. 86 1791

The Universal rotation curve of spiral galaxies: 1. The Dark matter connection

Massimo Persic
(
- Trieste Observ. and
- SISSA, Trieste
)
,
Paolo Salucci
(
- SISSA, Trieste
)
,
Fulvio Stel
(
- Trieste U., Astron. Dept.
)

- Mon.Not.Roy.Astron.Soc. 281 (1996) 27
•
e-Print:
- astro-ph/9506004
•
DOI:
- 10.1093/mnras/278.1.27

A Modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis

M. Milgrom
(
- Weizmann Inst.
)

- Astrophys.J. 270 (1983) 365-370
•
DOI:
- 10.1086/161130

Can galactic observations be explained by a relativistic gravity theory?

- Phys.Rev.Lett. 73 (1994) 2950-2953
•
e-Print:
- gr-qc/9410002
•
DOI:
- 10.1103/PhysRevLett.73.2950

Astrophysical constraints on modifying gravity at large distances

- Class.Quant.Grav. 18 (2001) R223-R232
•
e-Print:
- hep-ph/0105083
•
DOI:
- 10.1088/0264-9381/18/23/202

- Nature 383 417

General relativity resolves galactic rotation without exotic dark matter

Fred I. Cooperstock
(
- Victoria U.
)
,
S. Tieu
(
- Victoria U.
)

e-Print:
- astro-ph/0507619

Singular disk of matter in the cooperstock and tieu galaxy model

Mikolaj Korzynski
(
- Warsaw U.
)

e-Print:
- astro-ph/0508377

Presence of exotic matter in the cooperstock and tieu galaxy model

e-Print:
- astro-ph/0510750

The Need for dark matter in galaxies

David Garfinkle
(
- Oakland U.
)

- Class.Quant.Grav. 23 (2006) 1391
•
e-Print:
- gr-qc/0511082
•
DOI:
- 10.1088/0264-9381/23/4/N01

Perspectives on galactic dynamics via general relativity

Fred I. Cooperstock
(
- Victoria U.
)
,
S. Tieu
(
- Victoria U.
)

e-Print:
- astro-ph/0512048

Comments on perspectives on galactic dynamics via general relativity

e-Print:
- astro-ph/0512553

Does smoothing matter?

e-Print:
- gr-qc/0603010

Van Stockum-Bonnor spacetimes of rigidly rotating dust

Lukasz Bratek
(
- Cracow, INP
)
,
Joanna Jalocha
(
- Jagiellonian U.
)
,
Marek Kutschera
(
- Cracow, INP and
- Jagiellonian U.
)

- Phys.Rev.D 75 (2007) 107502
•
e-Print:
- astro-ph/0603791
•
DOI:
- 10.1103/PhysRevD.75.107502

Comment on `General Relativity Resolves Galactic Rotation Without Exotic Dark Matter' by F.I. Cooperstock and S. Tieu

- New Astron. 11 (2006) 608-610
•
e-Print:
- astro-ph/0604022
•
DOI:
- 10.1016/j.newast.2006.04.002

Mass Distribution of Spiral Galaxies in a Thin Disk Model with Velocity Curve Extrapolation

Valentin Kostov
(
- Chicago U.
)

e-Print:
- astro-ph/0604395

The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field

David Alba
(
- Florence U.
)
,
Luca Lusanna
(
- INFN, Florence
)

- Gen.Rel.Grav. 39 (2007) 2149-2203
•
e-Print:
- gr-qc/0604086
•
DOI:
- 10.1007/s10714-007-0507-2

The Chrono-geometrical structure of special and general relativity: A Re-visitation of canonical geometrodynamics

Luca Lusanna
(
- INFN, Florence
)

- eConf C0602061 (2006) 05,
- Int.J.Geom.Meth.Mod.Phys. 4 (2007) 79-114
•
e-Print:
- gr-qc/0604120
•
DOI:
- 10.1142/S0219887807001874

Velocity Curves for Stars in Disk Galaxies: A case for Nearly Newtonian Dynamics

e-Print:
- astro-ph/0605688

Just dust: About the (in)applicability of rotating dust solutions as realistic galaxy models

- Adv.Stud.Theor.Phys. 1 (2007) 409-432
•
e-Print:
- astro-ph/0608299

Information entropy in cosmology

Akio Hosoya
(
- Tokyo Inst. Tech.
)
,
Thomas Buchert
(
- Munich U. and
- Tokyo Inst. Tech. and
- Tokyo U.
)
,
Masaaki Morita
(
- Ochanomizu U. and
- Waseda U., RISE
)

- Phys.Rev.Lett. 92 (2004) 141302
•
e-Print:
- gr-qc/0402076
•
DOI:
- 10.1103/PhysRevLett.92.141302

The Universe seen at different scales

- Phys.Lett.A 347 (2005) 38-46
•
e-Print:
- gr-qc/0506106
•
DOI:
- 10.1016/j.physleta.2005.06.087

Cosmological solutions in macroscopic gravity

- Phys.Rev.Lett. 95 (2005) 151102
•
e-Print:
- gr-qc/0504115
•
DOI:
- 10.1103/PhysRevLett.95.151102

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