### 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 |
---|---|

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

*Classical and Quantum Gravity*,

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

**The Curvature Function in General Relativity.** / Hall, Graham Stanley; Macnay, L.

Research output: Contribution to journal › Article

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

}

TY - JOUR

T1 - The Curvature Function in General Relativity

AU - Hall, Graham Stanley

AU - Macnay, L.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - SECTIONAL CURVATURE

KW - SPACE-TIME

KW - CLASSIFICATION

U2 - 10.1088/0264-9381/23/20/011

DO - 10.1088/0264-9381/23/20/011

M3 - Article

VL - 23

SP - 5897

EP - 5905

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

ER -