Fourth order gravity, scalar-tensor-vector gravity, and galaxy rotation curves


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Publication Details

Output typeJournal article

Author listMishra P, Singh TP

PublisherAmerican Physical Society

Publication year2013

JournalPhysical Review D (1550-7998)

Volume number88

Issue number10

ISSN1550-7998

eISSN1550-2368

LanguagesEnglish-Great Britain (EN-GB)


Unpaywall Data

Open access statusgreen

Full text URLhttps://arxiv.org/pdf/1108.2375


Abstract

The lambda-CDM model is the best fit to cosmological data and to the observed galactic rotation curves. However, in the absence of a direct detection of dark matter one should explore theories such as modified Newtonian dynamics (MOND), and perhaps also modified gravity theories like fourth order gravity and scalar-tensor-vector gravity (STVG) as possible explanations for the non-Keplerian behavior of galaxy rotation curves. STVG has a modified law for gravitational acceleration which attempts to fit data by fixing two free parameters. We show that, remarkably, the biharmonic equation which we get in the weak field limit of the field equations in a fourth order gravity theory implies a modification of Newtonian acceleration which is precisely of the same repulsive Yukawa form as in the STVG theory, and the corrections could in principle be large enough to try and explain the observed rotation curves. We also explain how our model provides a first principles understanding of MOND. We also show that STVG and fourth order gravity predict an acceleration parameter a(0) whose value is of the same order as in MOND.


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Last updated on 2025-17-07 at 03:04