Ricci-flat spacetimes admitting higher rank Killing tensors

Marco Cariglia, Anton Galajinsky

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)320-324
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume744
DOIs
Publication statusPublished - 1 May 2015

Fingerprint

signatures
tensors
oxidation

Keywords

  • Drach systems
  • Higher rank Killing tensors
  • Ricci-flat spacetimes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Ricci-flat spacetimes admitting higher rank Killing tensors. / Cariglia, Marco; Galajinsky, Anton.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 744, 01.05.2015, p. 320-324.

Research output: Contribution to journalArticle

@article{e1f65c19b878424fab0e7d8980861639,
title = "Ricci-flat spacetimes admitting higher rank Killing tensors",
abstract = "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 = "Drach systems, Higher rank Killing tensors, Ricci-flat spacetimes",
author = "Marco Cariglia and Anton Galajinsky",
year = "2015",
month = "5",
day = "1",
doi = "10.1016/j.physletb.2015.04.001",
language = "English",
volume = "744",
pages = "320--324",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",

}

TY - JOUR

T1 - Ricci-flat spacetimes admitting higher rank Killing tensors

AU - Cariglia, Marco

AU - Galajinsky, Anton

PY - 2015/5/1

Y1 - 2015/5/1

N2 - 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.

AB - 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.

KW - Drach systems

KW - Higher rank Killing tensors

KW - Ricci-flat spacetimes

UR - http://www.scopus.com/inward/record.url?scp=84927626324&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84927626324&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2015.04.001

DO - 10.1016/j.physletb.2015.04.001

M3 - Article

VL - 744

SP - 320

EP - 324

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -