### Abstract

We investigate perturbations of Kantowski-Sachs models with a positive cosmological constant, using the gauge invariant 1 + 3 and 1 + 1 + 2 covariant splits of spacetime together with a harmonic decomposition. The perturbations are assumed to be vorticity-free and of perfect fluid type, but otherwise include general scalar, vector and tensor modes. In this case the set of equations can be reduced to six evolution equations for six harmonic coefficients.

Original language | English |
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Title of host publication | Progress in Mathematical Relativity, Gravitation and Cosmology - Proceedings of the Spanish Relativity Meeting ERE2012 |

Publisher | Springer New York LLC |

Pages | 289-293 |

Number of pages | 5 |

ISBN (Print) | 9783642401565 |

DOIs | |

Publication status | Published - Jan 1 2014 |

Event | Spanish Relativity Meeting, ERE 2012 - Guimaraes, Portugal Duration: Sep 3 2012 → Sep 7 2012 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 60 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Other

Other | Spanish Relativity Meeting, ERE 2012 |
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Country | Portugal |

City | Guimaraes |

Period | 9/3/12 → 9/7/12 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Keresztes, Z., Forsberg, M., Bradley, M., Dunsby, P. K. S., & Gergely, L. Á. (2014). Perturbations of Kantowski-Sachs Models with a Cosmological Constant. In

*Progress in Mathematical Relativity, Gravitation and Cosmology - Proceedings of the Spanish Relativity Meeting ERE2012*(pp. 289-293). (Springer Proceedings in Mathematics and Statistics; Vol. 60). Springer New York LLC. https://doi.org/10.1007/978-3-642-40157-2_40