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Killing tensors in stationary and axially symmetric space–times

Killing tensors in stationary and axially symmetric space-times
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2017Embargo end date: 01 Jan 2016 English Publisher:Elsevier BVJournal:Journal of Geometry and Physics, volume 115, pages 28-36 (issn: 0393-0440, Copyright policy )Funded by:DFG | unidentified
Authors: Vollmer, Andreas;

doi: 10.1016/j.geomphys.2016.09.009 , 10.48550/arxiv.1602.08968

arXiv: 1602.08968

Killing tensors in stationary and axially symmetric space–times

Abstract

We discuss the existence of Killing tensors for certain (physically motivated) stationary and axially symmetric vacuum space-times. We show nonexistence of a nontrivial Killing tensor for a Tomimatsu-Sato metric (up to valence 7), for a C-metric (up to valence 9) and for a Zipoy-Voorhees metric (up to valence 11). The results are obtained by mathematically completely rigorous, nontrivial computer algebra computations with a huge number of equations involved in the problem.

Related Organizations
Keywords

Mathematics - Differential Geometry, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), stationary and axially symmetric vacuum metric, General Relativity and Quantum Cosmology, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Differential Geometry (math.DG), Killing tensors, FOS: Mathematics, prolongation-projection, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
hybrid