### Abstract

Using the Bondi coordinates, we discuss the angular momentum at null infinity in five dimensions and address the Poincare covariance of the Bondi angular momentum. We also show the angular momentum loss/gain law due to gravitational waves. In four dimensions, the angular momentum at null infinity has the supertranslational ambi- guity and then it is known that we cannot construct well-defined angular momentum there. On the other hand, we would stress that we can define angular momentum at null infinity without any ambiguity in higher dimensions. This is because of the non-existence of supertranslations in higher dimensions.

Original language | English |
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Pages | 209-212 |

Number of pages | 4 |

Publication status | Published - Dec 1 2010 |

Externally published | Yes |

Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: Sep 21 2010 → Sep 25 2010 |

### Other

Other | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
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Country | Japan |

City | Kyoto |

Period | 9/21/10 → 9/25/10 |

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

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## Cite this

Tanabe, K., Tanahashi, N., & Shiromizu, T. (2010).

*Angular momentum at null infinity in five dimensions*. 209-212. Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.