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On the universality of the global density slope-anisotropy inequality

Emmanuel Van Hese, Maarten Baes (UGent) and Herwig Dejonghe (UGent)
(2011) ASTROPHYSICAL JOURNAL. 726(2).
Author
Organization
Abstract
Recently, some intriguing results have led to speculations whether the central density slope-velocity dispersion anisotropy inequality (An & Evans) actually holds at all radii for spherical dynamical systems. We extend these studies by providing a complete analysis of the global slope-anisotropy inequality for all spherical systems in which the augmented density is a separable function of radius and potential. We prove that these systems indeed satisfy the global inequality if their central anisotropy is beta(0) <= 1/2. Furthermore, we present several systems with beta(0) > 1/2 for which the inequality does not hold, thus demonstrating that the global density slope-anisotropy inequality is not a universal property. This analysis is a significant step toward an understanding of the relation for general spherical systems.
Keywords
DARK-MATTER HALOS, dark matter, DYNAMICAL MODELS, SPHERICAL STELLAR-SYSTEMS, Galaxy: kinematics and dynamics, methods: analytical

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MLA
Van Hese, Emmanuel, et al. “On the Universality of the Global Density Slope-Anisotropy Inequality.” ASTROPHYSICAL JOURNAL, vol. 726, no. 2, 2011, doi:10.1088/0004-637X/726/2/80.
APA
Van Hese, E., Baes, M., & Dejonghe, H. (2011). On the universality of the global density slope-anisotropy inequality. ASTROPHYSICAL JOURNAL, 726(2). https://doi.org/10.1088/0004-637X/726/2/80
Chicago author-date
Van Hese, Emmanuel, Maarten Baes, and Herwig Dejonghe. 2011. “On the Universality of the Global Density Slope-Anisotropy Inequality.” ASTROPHYSICAL JOURNAL 726 (2). https://doi.org/10.1088/0004-637X/726/2/80.
Chicago author-date (all authors)
Van Hese, Emmanuel, Maarten Baes, and Herwig Dejonghe. 2011. “On the Universality of the Global Density Slope-Anisotropy Inequality.” ASTROPHYSICAL JOURNAL 726 (2). doi:10.1088/0004-637X/726/2/80.
Vancouver
1.
Van Hese E, Baes M, Dejonghe H. On the universality of the global density slope-anisotropy inequality. ASTROPHYSICAL JOURNAL. 2011;726(2).
IEEE
[1]
E. Van Hese, M. Baes, and H. Dejonghe, “On the universality of the global density slope-anisotropy inequality,” ASTROPHYSICAL JOURNAL, vol. 726, no. 2, 2011.
@article{1241059,
  abstract     = {{Recently, some intriguing results have led to speculations whether the central density slope-velocity dispersion anisotropy inequality (An & Evans) actually holds at all radii for spherical dynamical systems. We extend these studies by providing a complete analysis of the global slope-anisotropy inequality for all spherical systems in which the augmented density is a separable function of radius and potential. We prove that these systems indeed satisfy the global inequality if their central anisotropy is beta(0) <= 1/2. Furthermore, we present several systems with beta(0) > 1/2 for which the inequality does not hold, thus demonstrating that the global density slope-anisotropy inequality is not a universal property. This analysis is a significant step toward an understanding of the relation for general spherical systems.}},
  articleno    = {{80}},
  author       = {{Van Hese, Emmanuel and Baes, Maarten and Dejonghe, Herwig}},
  issn         = {{0004-637X}},
  journal      = {{ASTROPHYSICAL JOURNAL}},
  keywords     = {{DARK-MATTER HALOS,dark matter,DYNAMICAL MODELS,SPHERICAL STELLAR-SYSTEMS,Galaxy: kinematics and dynamics,methods: analytical}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{6}},
  title        = {{On the universality of the global density slope-anisotropy inequality}},
  url          = {{http://dx.doi.org/10.1088/0004-637X/726/2/80}},
  volume       = {{726}},
  year         = {{2011}},
}
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