1,062 research outputs found
A Framework of Multi-Dimensional and Multi-Scale Modeling with Applications
In this dissertation, a framework for multi-dimensional and multi-scale modeling is proposed. The essential idea is based on oriented space curves, which can be represented as a 3D slender object or 1D step parameters. SMILES and Masks provide functionalities that extend slender objects into branched and other objects. We treat the conversion between 1D, 2D, 3D, and 4D representations as data unification. A mathematical analysis of different methods applied to helices (a special type of space curves) is also provided. Computational implementation utilizes Model-ViewController design principles to integrate data unification with graphical visualizations to create a dashboard. Applications of multi-dimensional and multi-scale modeling are provided to study āMagic Snakeā, āNanocarā and āGenome Dashboardā
Shadows of CPR black holes and tests of the Kerr metric
We study the shadow of the Cardoso-Pani-Rico (CPR) black hole for different
values of the black hole spin , the deformation parameters
and , and the viewing angle . We find that the main impact of
the deformation parameter is the change of the size of the
shadow, while the deformation parameter affects the shape of its
boundary. In general, it is impossible to test the Kerr metric, because the
shadow of a Kerr black hole can be reproduced quite well by a black hole with
non-vanishing or . Deviations from the Kerr
geometry could be constrained in the presence of high quality data and in the
favorable case of a black hole with high values of and . However, the
shadows of some black holes with non-vanishing present peculiar
features and the possible detection of these shadows could unambiguously
distinguish these objects from the standard Kerr black holes of general
relativity.Comment: 10 pages, 7 figures. v2: refereed version with minor change
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