
On the universality of the global density slope-anisotropy inequality
- Author
- Emmanuel Van Hese, Maarten Baes (UGent) and Herwig Dejonghe (UGent)
- 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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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-1241059
- 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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