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General Relativity and Quantum Cosmology

arXiv:0711.0256 (gr-qc)
[Submitted on 2 Nov 2007 (v1), last revised 30 Oct 2008 (this version, v5)]

Title:Solar System tests of some models of modified gravity proposed to explain galactic rotation curves without dark matter

Authors:Lorenzo Iorio, Matteo Luca Ruggiero
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Abstract: We consider the recently estimated corrections \Delta\dot\varpi to the Newtonian/Einsteinian secular precessions of the longitudes of perihelia \varpi of several planets of the Solar System in order to evaluate whether they are compatible with the predicted precessions due to models of long-range modified gravity put forth to account for certain features of the rotation curves of galaxies without resorting to dark matter. In particular, we consider a logarithmic-type correction and a f(R) inspired power-law modification of the Newtonian gravitational potential. The results obtained by taking the ratio of the apsidal rates for different pairs of planets show that the modifications of the Newtonian potentials examined in this paper are not compatible with the secular extra-precessions of the perihelia of the Solar System's planets estimated by E.V. Pitjeva as solve-for parameters processing almost one century of data with the latest EPM ephemerides.
Comments: aastex, 23 pages, no figures, 4 tables. Accepted by Scholarly Research Exchange (SYREXE). Thanks to the referees S. Odintsov and S. Nojiri for their useful and relevant remarks
Subjects: General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph); High Energy Physics - Phenomenology (hep-ph); Space Physics (physics.space-ph)
Cite as: arXiv:0711.0256 [gr-qc]
  (or arXiv:0711.0256v5 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.0256
Journal reference: Scholarly Research Exchange, vol. 2008, article ID 968393
Related DOI: https://doi.org/10.3814/2008/968393

Submission history

From: Lorenzo Iorio [view email]
[v1] Fri, 2 Nov 2007 08:04:59 UTC (13 KB)
[v2] Mon, 19 Nov 2007 19:39:01 UTC (13 KB)
[v3] Thu, 31 Jan 2008 09:30:37 UTC (13 KB)
[v4] Wed, 25 Jun 2008 14:16:20 UTC (16 KB)
[v5] Thu, 30 Oct 2008 17:28:51 UTC (16 KB)
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