I understand the association between vectors and covectors on a Riemannian manifold, but it appears that 4-momentum is given naturally as a covector, instead of vector.(adsbygoogle = window.adsbygoogle || []).push({});

4-position is clearly a vector (for that is the most natural representation of it). Similarly, 4-velocity is also vector, and given that 4-momentum is a scalar multiple of 4-velocity, one would expect 4-momentum to also be a vector. But it appears in various references as a covector by default. Is there any fundamental reason for this?

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Why is 4-momentum usually given as a covector?

Loading...

Similar Threads for momentum usually given | Date |
---|---|

A Dark Matter and the Energy-Momentum Tensor | Mar 12, 2018 |

I Energy-momentum formula and deBroglie wavelength | Jan 19, 2018 |

I 4-momentum of a massless particle | Jan 15, 2018 |

I How do we get invariant curvature from momentum and energy? | Dec 9, 2017 |

A How these notions relate to the usual SR approach? | Mar 13, 2017 |

**Physics Forums - The Fusion of Science and Community**