### Abstract

A function, here called the curvature function, is defined and which is constructed explicitly from the type ( 0, 4) curvature tensor. Although such a function may be defined for any manifold admitting a metric, attention is here concentrated on this function on a spacetime. Some properties of this function are explored and compared with a previous discussion of it given by Petrov.

Original language | English |
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Pages (from-to) | 5897-5905 |

Number of pages | 8 |

Journal | Classical and Quantum Gravity |

Volume | 23 |

DOIs | |

Publication status | Published - 2006 |

### Keywords

- SECTIONAL CURVATURE
- SPACE-TIME
- CLASSIFICATION

## Cite this

Hall, G. S., & Macnay, L. (2006). The Curvature Function in General Relativity.

*Classical and Quantum Gravity*,*23*, 5897-5905. https://doi.org/10.1088/0264-9381/23/20/011