Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry

G. W. Angus, B. Famaey, H. S. Zhao

    Research output: Contribution to journalArticle

    86 Citations (Scopus)

    Abstract

    A proper test of modified Newtonian dynamics (MOND) in systems of non-trivial geometries depends on modelling subtle differences in several versions of its postulated theories. This is especially true for lensing and dynamics of barely virialized galaxy clusters with typical gravity of scale a0. The original MOND formula, the classical single-field modification of the Poisson equation, and the multifield general relativistic theory of Bekenstein (tensor-vector-scalar, TeVeS) all lead to different predictions as we stray from spherical symmetry. In this paper, we study a class of analytical MONDian models for a system with a semi-Hernquist baryonic profile. After presenting the analytical distribution function of the baryons in spherical limits, we develop orbits and gravitational lensing of the models in non-spherical geometries. In particular, we can generate a multicentred baryonic system with a weak lensing signal resembling that of the merging galaxy cluster 1E 0657-56 with a bullet-like light distribution. We finally present analytical scale-free highly non-spherical models to show the subtle differences between the single-field classical MOND theory and the multifield TeVeS theory.

    Original languageEnglish
    Pages (from-to)138-146
    Number of pages9
    JournalMonthly Notices of the Royal Astronomical Society
    Volume371
    Issue number1
    DOIs
    Publication statusPublished - Sep 2006

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    symmetry
    tensors
    scalars
    galaxies
    geometry
    relativistic theory
    Poisson equation
    baryons
    distribution functions
    gravity
    gravitation
    orbits
    comparison
    profiles
    prediction
    predictions
    modeling
    distribution

    All Science Journal Classification (ASJC) codes

    • Space and Planetary Science

    Cite this

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    abstract = "A proper test of modified Newtonian dynamics (MOND) in systems of non-trivial geometries depends on modelling subtle differences in several versions of its postulated theories. This is especially true for lensing and dynamics of barely virialized galaxy clusters with typical gravity of scale a0. The original MOND formula, the classical single-field modification of the Poisson equation, and the multifield general relativistic theory of Bekenstein (tensor-vector-scalar, TeVeS) all lead to different predictions as we stray from spherical symmetry. In this paper, we study a class of analytical MONDian models for a system with a semi-Hernquist baryonic profile. After presenting the analytical distribution function of the baryons in spherical limits, we develop orbits and gravitational lensing of the models in non-spherical geometries. In particular, we can generate a multicentred baryonic system with a weak lensing signal resembling that of the merging galaxy cluster 1E 0657-56 with a bullet-like light distribution. We finally present analytical scale-free highly non-spherical models to show the subtle differences between the single-field classical MOND theory and the multifield TeVeS theory.",
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    Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry. / Angus, G. W.; Famaey, B.; Zhao, H. S.

    In: Monthly Notices of the Royal Astronomical Society, Vol. 371, No. 1, 09.2006, p. 138-146.

    Research output: Contribution to journalArticle

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