Axial symmetry and conformal Killing vectors
نویسندگان
چکیده
منابع مشابه
Killing Tensors and Conformal Killing Tensors from Conformal Killing Vectors
Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conformal Killing vectors exist in a given space. We give the completely general result demonstrating that this severe restriction of orthogonality is unnecessary. In addition we correct and extend some results concerning Ki...
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Some years ago Koutras presented a method of constructing a conformal Killing tensor from a pair of orthogonal conformal Killing vectors. When the vector associated with the conformal Killing tensor is a gradient, a Killing tensor (in general irreducible) can then be constructed. In this paper it is shown that the severe restriction of orthogonality is unnecessary and thus it is possible that m...
متن کاملIrreducible Killing Tensors from Conformal Killing Vectors
S. Brian EDGAR †, Rafaelle RANI ‡ and Alan BARNES § † Department of Mathematics, Linköping University, Linköping, Sweden S581-83 E-mail: [email protected] ‡ Institute of Astronomy and Astrophysics, Department of Theoretical Astrophysics, University of Tübingen, D-72076 Tübingen, Germany E-mail: [email protected] § School of Engineering & Applied Science, Aston University, Birmingh...
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Axisymmetric spacetimes with a conformal symmetry are studied and it is shown that, if there is no further conformal symmetry, the axial Killing vector and the conformal Killing vector must commute. As a direct consequence, in con-formally stationary and axisymmetric spacetimes, no restriction is made by assuming that the axial symmetry and the conformal timelike symmetry commute. Furthermore, ...
متن کاملGeneralized Korn’s inequality and conformal Killing vectors
Korn’s inequality plays an important role in linear elasticity theory. This inequality bounds the norm of the derivatives of the displacement vector by the norm of the linearized strain tensor. The kernel of the linearized strain tensor are the infinitesimal rigid-body translations and rotations (Killing vectors). We generalize this inequality by replacing the linearized strain tensor by its tr...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1993
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/10/8/020