Ricci-flat spacetimes admitting higher rank Killing tensors

Ricci-flat spacetimes admitting higher rank Killing tensors

Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parame...

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Main Authors: Marco Cariglia, Anton Galajinsky
Format: Article
Language:English
Published: Elsevier 2015-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315002440
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spelling doaj-fcd572905536429280fd9b6bea8b8aa92020-11-24T21:59:01ZengElsevierPhysics Letters B0370-26932015-05-01744320324Ricci-flat spacetimes admitting higher rank Killing tensorsMarco Cariglia0Anton Galajinsky1DEFIS, Universidade Federal de Ouro Preto, Campus Morro do Cruzeiro, 35400-000 Uoro Preto, MG, BrazilLaboratory of Mathematical Physics, Tomsk Polytechnic University, 634050 Tomsk, Lenin Ave. 30, Russian Federation; Corresponding author.Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parameters. In four dimensions, some of our solutions are anti-self-dual. Keywords: Ricci-flat spacetimes, Higher rank Killing tensors, Drach systemshttp://www.sciencedirect.com/science/article/pii/S0370269315002440
collection DOAJ
language English
format Article
sources DOAJ
author Marco Cariglia
Anton Galajinsky
spellingShingle Marco Cariglia
Anton Galajinsky
Ricci-flat spacetimes admitting higher rank Killing tensors
Physics Letters B
author_facet Marco Cariglia
Anton Galajinsky
author_sort Marco Cariglia
title Ricci-flat spacetimes admitting higher rank Killing tensors
title_short Ricci-flat spacetimes admitting higher rank Killing tensors
title_full Ricci-flat spacetimes admitting higher rank Killing tensors
title_fullStr Ricci-flat spacetimes admitting higher rank Killing tensors
title_full_unstemmed Ricci-flat spacetimes admitting higher rank Killing tensors
title_sort ricci-flat spacetimes admitting higher rank killing tensors
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2015-05-01
description Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parameters. In four dimensions, some of our solutions are anti-self-dual. Keywords: Ricci-flat spacetimes, Higher rank Killing tensors, Drach systems
url http://www.sciencedirect.com/science/article/pii/S0370269315002440
work_keys_str_mv AT marcocariglia ricciflatspacetimesadmittinghigherrankkillingtensors
AT antongalajinsky ricciflatspacetimesadmittinghigherrankkillingtensors
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