### Abstract

Crucial to a knowledge of the perturbations of Robertson-Walker cosmological models are complete sets of functions with which to expand such perturbations. For the open Robertson-Walker cosmology an answer to this question is given. In addition some observations concerning explicit solution by separation of variables of wave equations for spin 1 in a Riemannian space having an infinitesimal line element of which the Robertson-Walker models are a special case are made.

Original language | English (US) |
---|---|

Pages (from-to) | 698-707 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 32 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1991 |

### Keywords

- COSMOLOGICAL MODELS
- DENSITY
- FUNCTIONS
- GRAVITATIONAL FIELDS
- PLANE WAVES
- RIEMANN SPACE
- SPIN
- TENSORS
- VECTORS
- VELOCITY
- WAVE EQUATIONS

## Fingerprint Dive into the research topics of 'Complete sets of functions for perturbations of Robertson-Walker cosmologies and spin 1 equations in Robertson-Walkertype spacetimes'. Together they form a unique fingerprint.

## Cite this

Kalnins, E. G., & Miller, W. (1991). Complete sets of functions for perturbations of Robertson-Walker cosmologies and spin 1 equations in Robertson-Walkertype spacetimes.

*Journal of Mathematical Physics*,*32*(3), 698-707. https://doi.org/10.1063/1.529413