### On the universality of the global density slope-anisotropy inequality

Emmanuel Van Hese, Maarten Baes UGent and Herwig Dejonghe UGent (2011) 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.
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
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
2016-12-21 15:41:47
```@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.