### 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 σ_{0} 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 R_{eff}, σ_{0} and the mean effective intensity 〈I_{e}〉. However, we predict a tilt between the observed and the MOND Fundamental Planes.

Original language | English |
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Pages (from-to) | 2617-2630 |

Number of pages | 14 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 412 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 2011 |

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### All Science Journal Classification (ASJC) codes

- Space and Planetary Science
- Astronomy and Astrophysics

### Cite this

*Monthly Notices of the Royal Astronomical Society*,

*412*(4), 2617-2630. https://doi.org/10.1111/j.1365-2966.2010.18081.x

}

*Monthly Notices of the Royal Astronomical Society*, vol. 412, no. 4, pp. 2617-2630. https://doi.org/10.1111/j.1365-2966.2010.18081.x

**The modified Newtonian dynamics Fundamental Plane.** / Cardone, V. F.; Angus, G.; Diaferio, A.; Tortora, C.; Molinaro, R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The modified Newtonian dynamics Fundamental Plane

AU - Cardone, V. F.

AU - Angus, G.

AU - Diaferio, A.

AU - Tortora, C.

AU - Molinaro, R.

PY - 2011/4

Y1 - 2011/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79953793180&partnerID=8YFLogxK

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U2 - 10.1111/j.1365-2966.2010.18081.x

DO - 10.1111/j.1365-2966.2010.18081.x

M3 - Article

AN - SCOPUS:79953793180

VL - 412

SP - 2617

EP - 2630

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 4

ER -