Kinematic and Weyl singularities
نویسندگان
چکیده
منابع مشابه
Properties of kinematic singularities
The locally rotationally symmetric tilted perfect fluid Bianchi type V cosmological model provides examples of future geodesically complete spacetimes that admit a ‘kinematic singularity’ at which the fluid congruence is inextendible but all frame components of the Weyl and Ricci tensors remain bounded. We show that for any positive integer n there are examples of Bianchi type V spacetimes admi...
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Kinematic singularities of robot manipulators are configurations in which there is a change in the expected or typical number of instantaneous degrees of freedom. This idea can be made precise in terms of the rank of a Jacobian matrix relating the rates of change of input (joint) and output (end-effector position) variables. The presence of singularities in a manipulator’s effective joint space...
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We study the properties of a future singularity encountered by a perfect fluid observer in tilting spatially homogeneous Bianchi cos-mologies. We derive the boost formulae for the Weyl tensor to establish that, for two observers that are asymptotically null with respect to each other, their respective Weyl parameters generally both tend to zero, constant, or infinity together. We examine three ...
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Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Abstract We propose in this paper solutions to avoid the joint limits and...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2006
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/24/3/005