The modified Newtonian dynamics Fundamental Plane

Authors

  • V. F. Cardone,

    Corresponding author
    1. Dipartimento di Scienze e Tecnologie dell’ Ambiente e del Territorio, Università degli Studi del Molise, Contrada Fonte Lappone, 86090 Pesche (IS), Italy
    2. Dipartimento di Fisica Generale, Università di Torino, and I.N.F.N. - Sez. di Torino, Via Pietro Giuria 1, 10125 Torino, Italy
    3. Dipartimento di Scienze Fisiche, Università degli Studi di Napoli ‘Federico II’, Complesso Universitario di Monte S. Angelo, Ed. 6, via Cinthia, 80126 Napoli, Italy
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  • G. Angus,

    1. Dipartimento di Fisica Generale, Università di Torino, and I.N.F.N. - Sez. di Torino, Via Pietro Giuria 1, 10125 Torino, Italy
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  • A. Diaferio,

    1. Dipartimento di Fisica Generale, Università di Torino, and I.N.F.N. - Sez. di Torino, Via Pietro Giuria 1, 10125 Torino, Italy
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  • C. Tortora,

    1. Dipartimento di Scienze Fisiche, Università degli Studi di Napoli ‘Federico II’, Complesso Universitario di Monte S. Angelo, Ed. 6, via Cinthia, 80126 Napoli, Italy
    2. Institut für Theoretische Physik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
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  • R. Molinaro

    1. INAF – Osservatorio Astronomico di Capodimonte, Salita Moiariello 16, 80131 Napoli, Italy
    2. Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10125 Torino, Italy
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E-mail: winnyenodrac@gmail.com

ABSTRACT

Modified Newtonian dynamics (MOND) has been shown to be able to fit spiral galaxy rotation curves as well as giving a theoretical foundation for empirically determined scaling relations, such as the Tully–Fisher law, without the need for a dark matter halo. As a complementary analysis, one should investigate whether MOND can also reproduce the dynamics of early-type galaxies (ETGs) without dark matter. As a first step, we here show that MOND can indeed fit the observed central velocity dispersion σ0 of a large sample of ETGs assuming a simple MOND interpolating functions and constant anisotropy. We also show that, under some assumptions on the luminosity dependence of the Sérsic n parameter and the stellar mass-to-light ratio (M/L), MOND predicts a Fundamental Plane for ETGs: a loglinear relation among the effective radius Reff, σ0 and the mean effective intensity Ie. However, we predict a tilt between the observed and the MOND Fundamental Planes.

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