Analysis of rotation curves in the framework of Rn gravity

By C. Martins, P. Salucci. 2007

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ABSTRACT We present an analysis of a devised sample of Rotation Curves (RCs), aimed atchecking the consequences of a modiﬁed f(R) gravity on galactic scales. Originallymotivated by the the dark energy mystery, this theory may serve as a possibility ofexplaining the observed non-Keplerian proﬁles of galactic RCs in terms of a break-down of the Einstein General Relativity. We show that in general the power-law f(R)version could ﬁt well the observations with reasonable values for the mass modelparameters, encouraging further investigation on R n gravity from both observationaland theoretical points of view.Key words: gravitation – dark matter – galaxies: kinematics and dynamics 1 INTRODUCTIONIt is well-known that the RCs of spiral galaxies show a non-Keplerian circular velocity proﬁle which cannot be explainedby considering a Newtonian gravitational potential gener-ated by the baryonic matter (Persic, Salucci & Stel 1996).Current possible explanation of this controversy includes,among others, the postulate of a new yet not detected stateof matter, the dark matter (Rubin 1983), a phenomeno-logical modiﬁcation of the Newtonian dynamics (Milgrom1983; Brownstein & Moﬀat 2006; Sanders & McGaugh 2002;Bekenstein 2007), and higher order gravitational theories(originally devoted to solve the dark energy issue, see e.g.,(Carroll et al. 2004; Capozziello et al. 2004)).The recent theory proposed by Capozziello, Cardone &Troisi 2007 (hereafter CCT), modiﬁes the usual Newtonianpotential generated by baryonic matter in such a way thatthe predicted galaxy kinematics and the observed one havea much better agreement. They consider power-law fourthorder⋆ theories of gravity obtained by replacing in the grav-ity action the Ricci scalar R with a function f(R) ∝ R

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5827014684a757a9c56ce7caeb91a8014a8c75e4

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f(R) Theories Of Gravity (2008, methodology): “…and cluster scales, using metric f(R) gravity as a substitute for dark matter (Capozziello et al., 2004, 2005a, 2006a, 2007a, 2006b, 2007f; Iorio and Ruggiero, 2007a,b; Jhingan et al., 2008; Martins and Salucci, 2007; Nojiri and Odintsov, 2008a; Saffari and Sobouti, 2007; Zhao and Li, 2008).”