Non-standard symmetries and Killing tensors

Visinescu, Mihai

doi:10.1088/1742-6596/189/1/012044

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2010

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“…Hauser and Malhiot made a similar study under the assumption that the KTs are independent of time [12]. The Taub-NUT spacetime admits four KTs [13] and the Euclidean Taub-NUT spacetime admits three KTs [14].…”

Section: Introductionmentioning

confidence: 98%

Killing tensors in pp-wave spacetimes

Keane¹,

Tupper²

2010

Class. Quantum Grav.

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Abstract. The formal solution of the second order Killing tensor equations for the general pp-wave spacetime is given. The Killing tensor equations are integrated fully for some specific pp-wave spacetimes. In particular, the complete solution is given for the conformally flat plane wave spacetimes and we find that irreducible Killing tensors arise for specific classes. The maximum number of independent irreducible Killing tensors admitted by a conformally flat plane wave spacetime is shown to be six. It is shown that every pp-wave spacetime that admits an homothety will admit a Killing tensor of Koutras type and, with the exception of the singular scale-invariant plane wave spacetimes, this Killing tensor is irreducible.

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Section: Introductionmentioning

confidence: 98%