Starting from the central density slope-anisotropy theorem of An and Evans (2006), recent investigations have shown that the involved density slope-anisotropy inequality holds not only at the center, but at all radii (i.e. globally) in a very large class of spherical systems with positive phase-space distribution function. Here we present some additional analytical cases that further extend the validity of the global density slope-anisotropy inequality. These new results, several numerical evidences, and the absence of known counter-examples, lead us to conjecture that the global density slope-anisotropy inequality could actually be a universal property of spherical systems with positive distribution function.
L. Ciotti, L. Morganti (2010). On the global density slope-anisotropy inequality. NEW YORK : AIP Conf. Proc. 1242.
On the global density slope-anisotropy inequality
CIOTTI, LUCA;
2010
Abstract
Starting from the central density slope-anisotropy theorem of An and Evans (2006), recent investigations have shown that the involved density slope-anisotropy inequality holds not only at the center, but at all radii (i.e. globally) in a very large class of spherical systems with positive phase-space distribution function. Here we present some additional analytical cases that further extend the validity of the global density slope-anisotropy inequality. These new results, several numerical evidences, and the absence of known counter-examples, lead us to conjecture that the global density slope-anisotropy inequality could actually be a universal property of spherical systems with positive distribution function.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
