## Abstract

A detailed classification is made of orthogonal coordinate systems for which the wave equation ψ_{tt} - Δ_{3}ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to coordinate systems that have been found in previous articles. We find 106 new coordinates to give a total of 367 conformally inequivalent orthogonal coordinates for which the wave equation admits an R -separation of variables.

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

Pages (from-to) | 1741-1751 |

Number of pages | 11 |

Journal | Journal of Mathematical Physics |

Volume | 18 |

Issue number | 9 |

DOIs | |

State | Published - 1976 |

Externally published | Yes |

## Fingerprint

Dive into the research topics of 'Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψ_{tt}-Δ

_{3}ψ = 0'. Together they form a unique fingerprint.