## Abstract

In this work, we present a new interpretation of the only static vacuum solution of Einstein’s field equations with planar symmetry, the Taub solution. This solution is a member of the AIII class of metrics, along with the type D Kasner solution. Various interpretations of these solutions have been put forward previously in the literature, however, some of these interpretations have suspect features and are not generally considered physical. Using a simple mathematical analysis, we show that a novel interpretation of the Taub solution is possible and that it naturally emerges from the radial, near-singularity limit of negative-mass Schwarzschild spacetime. A new, more transparent derivation is also given, showing that the type D Kasner metric can be interpreted as a region of spacetime deep within a positive-mass Schwarzschild black hole. The dual nature of this class of A-metrics is thereby demonstrated.

Original language | English |
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Article number | 183 |

Number of pages | 10 |

Journal | Universe |

Volume | 8 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 2022 |

Publication type | A1 Journal article-refereed |

## Keywords

- Einstein’s vacuum field equations
- general relativity
- Kasner solution
- negative mass
- Schwarzschild metric
- Taub solution

## Publication forum classification

- Publication forum level 1

## ASJC Scopus subject areas

- Physics and Astronomy(all)