Search
This Journal
This Journal
Anywhere
Quick Search in Journals
Enter words / phrases / DOI / ISBN / keywords / authors / etc
Access type:Only show content I have full access toOnly show Open Access
Advanced Search
0 My Cart
Sign in
Institutional Access

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Invited Papers and ReviewsNo Access

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

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

Search for more papers by this author

and

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

Search for more papers by this author

https://doi.org/10.1142/S0218271808012140Cited by:37 (Source: Crossref)

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.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

V. C. Rubin, N. Thonnard and W. K. Ford Jr., Astrophys. J. 238, 471 (1980), DOI: 10.1086/158003. Crossref, Web of Science, ADS, Google Scholar
A. Bosma, Astron. J. 86, 1791 (1981), DOI: 10.1086/113062. Crossref, Web of Science, ADS, Google Scholar
M. Persic, P. Salucci and F. Stel, Mon. Not. R. Astron. Soc. 281, 27 (1996), astro-ph/9506004. Crossref, Web of Science, ADS, Google Scholar
M. Milgrom, Astrophys. J. 270, 365 (1983), DOI: 10.1086/161130. Crossref, Web of Science, ADS, Google Scholar
V. V. Zhytnikov and J. M. Nester, Phys. Rev. Lett. 73, 2950 (1994), gr-qc/9410002 DOI: 10.1103/PhysRevLett.73.2950. Crossref, Web of Science, Google Scholar
A. Aguirreet al., Class. Quant. Grav. 18, R223 (2001), hep-ph/0105083 DOI: 10.1088/0264-9381/18/23/202. Crossref, Web of Science, Google Scholar
A. Eckart and R. Genzel, Nature 383, 417 (1996), DOI: 10.1038/383415a0. Web of Science, Google Scholar
F. I. Cooperstock and S. Tieu , astro-ph/0507619 . Google Scholar
M. Korzynski , astro-ph/0508377 . Google Scholar
D. Vogt and P. S. Letelier , astro-ph/0510750 . Google Scholar
D. Garfinkle , gr-qc/0511082 . Google Scholar
F. I. Cooperstock and S. Tieu , astro-ph/0512048 . Google Scholar
D. Vogt and P. S. Letelier , astro-ph/0512553 . Google Scholar
D. J. Cross , astro-ph/0601191 . Google Scholar
M. Rocek and P. van Nieuwenhuizen , gr-qc/0603010 . Google Scholar
L. Bratek, J. Jalocha and M. Kutschera , astro-ph/0603791 . Google Scholar
B. Fuchs and S. Phleps, New Astron. 11, 608 (2006), astro-ph/0604022 DOI: 10.1016/j.newast.2006.04.002. Crossref, Web of Science, ADS, Google Scholar
V. Kostov , astro-ph/0604395 . Google Scholar
D. Alba and L. Lusanna , gr-qc/0604086 . Google Scholar
L. Lusanna , gr-qc/0604120 . Google Scholar
M. D. Maia, A. J. S. Capistrano and D. Muller , astro-ph/0605688 . Google Scholar
T. Zingg, A. Aste and D. Trautmann , astro-ph/0608299 . Google Scholar
A. Hosoya, T. Buchert and M. Morita, Phys. Rev. Lett. 92, 141302 (2004), gr-qc/0402076 DOI: 10.1103/PhysRevLett.92.141302. Crossref, Web of Science, ADS, Google Scholar
G. F. R. Ellis and T. Buchert, Phys. Lett. A 347, 38 (2005), gr-qc/0506106 DOI: 10.1016/j.physleta.2005.06.087. Crossref, Web of Science, ADS, Google Scholar
A. A. Coley, N. Pelavas and R. M. Zalaletdinov, Phys. Rev. Lett. 95, 151102 (2005), gr-qc/0504115 DOI: 10.1103/PhysRevLett.95.151102. Crossref, Web of Science, ADS, Google Scholar
D. L. Wiltshire , gr-qc/0702082 . Google Scholar
R. M. Wald , General Relativity ( The University of Chicago Press , 1984 ) . Crossref, Google Scholar
W. J. van Stockum, Proc. Roy. Soc. Edinburgh 57, 135 (1937). Crossref, Google Scholar
W. Bonnor, J. Phys. A 10, 1673 (1977), DOI: 10.1088/0305-4470/10/10/004. Crossref, ADS, Google Scholar
H. Stephani et al. , Exact Solutions of Einstein's Field Equations ( Cambridge University Press , 2003 ) . Crossref, Google Scholar
R. P. Kerr, Phys. Rev. Lett. 11, 237 (1963), DOI: 10.1103/PhysRevLett.11.237. Crossref, Web of Science, ADS, Google Scholar
C. Alcocket al., Phys. Rev. Lett. 74, 2867 (1995), astro-ph/9501091 DOI: 10.1103/PhysRevLett.74.2867. Crossref, Web of Science, Google Scholar

Journal cover image

Vol. 17, No. 03n04

Metrics

Downloaded 121 times

History

Received 18 December 2007

Keywords