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On the universality of the global density slope-anisotropy inequality

Emmanuel Van Hese UGent, Maarten Baes UGent and Herwig Dejonghe UGent (2011) ASTROPHYSICAL JOURNAL. 726(2).
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.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
DARK-MATTER HALOS, dark matter, DYNAMICAL MODELS, SPHERICAL STELLAR-SYSTEMS, Galaxy: kinematics and dynamics, methods: analytical
journal title
ASTROPHYSICAL JOURNAL
Astrophys. J.
volume
726
issue
2
article_number
80
pages
6 pages
Web of Science type
Article
Web of Science id
000285623600024
JCR category
ASTRONOMY & ASTROPHYSICS
JCR impact factor
6.024 (2011)
JCR rank
6/56 (2011)
JCR quartile
1 (2011)
ISSN
0004-637X
DOI
10.1088/0004-637X/726/2/80
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1241059
handle
http://hdl.handle.net/1854/LU-1241059
date created
2011-05-25 13:05:49
date last changed
2011-06-08 11:27:42
@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) {\textlangle}= 1/2. Furthermore, we present several systems with beta(0) {\textrangle} 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},
  keyword      = {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},
}

Chicago
Van Hese, Emmanuel, Maarten Baes, and Herwig Dejonghe. 2011. “On the Universality of the Global Density Slope-anisotropy Inequality.” Astrophysical Journal 726 (2).
APA
Van Hese, E., Baes, M., & Dejonghe, H. (2011). On the universality of the global density slope-anisotropy inequality. ASTROPHYSICAL JOURNAL, 726(2).
Vancouver
1.
Van Hese E, Baes M, Dejonghe H. On the universality of the global density slope-anisotropy inequality. ASTROPHYSICAL JOURNAL. 2011;726(2).
MLA
Van Hese, Emmanuel, Maarten Baes, and Herwig Dejonghe. “On the Universality of the Global Density Slope-anisotropy Inequality.” ASTROPHYSICAL JOURNAL 726.2 (2011): n. pag. Print.