Rings and shells of "dark matter'' as mond artifacts

Mordehai Milgrom*, Robert H. Sanders

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

48 Citations (Scopus)

Abstract

MOND predicts that a mass, M, contained within its transition radius, r(t) equivalent to ( MG/a(0))(1/2), may exhibit a feature at about that radius in the form of a shell, or projected ring, in the deduced distribution of its phantom dark matter. This is despite the absence of any underlying feature in the true ("baryon'') source distribution itself. The phenomenon is similar to the appearance of an event horizon and other unusual physics "in the middle of nothing'' near the transition radius of general relativity, which is MG/c(2). We consider the possibility that this pure MOND phenomenon is in the basis of the recent finding of such a ring in the galaxy cluster Cl 0024+ 17 by Jee and coworkers. We find that the parameters of the observed ring can be naturally explained in this way; this feature may therefore turn out to be direct evidence for MOND. We study this phenomenon in simple, axisymmetric configurations aligned with the line of sight: spherical masses, a dumbbell of spherical masses, and an elongated, thin structure. The properties of the apparent ring, including its radius, surface density, and contrast, depend on the form of the MOND interpolating function and on the exact three- dimensional distribution of the sources ( the thin- lens approximation is quite invalid in MOND). We also comment on the possible appearance of orphan features, marking the Newtonian- to- MOND transition, in high surface brightness galaxies. In particular, we find that previously unexplained structure in the rotation curves of some galaxies may be evidence for such features.

Original languageEnglish
Pages (from-to)131-143
Number of pages13
JournalAstrophysical Journal
Volume678
Issue number1
Publication statusPublished - 1-May-2008

Keywords

  • dark matter
  • galaxies : clusters : general
  • galaxies : kinematics and dynamics
  • MODIFIED NEWTONIAN DYNAMICS
  • ORDINARY ELLIPTIC GALAXIES
  • EXTENDED ROTATION CURVES
  • SPIRAL GALAXIES
  • DISC GALAXIES
  • HIDDEN MASS
  • MILKY-WAY
  • CLUSTERS
  • CONFRONTATION
  • CL-0024+17

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