Angular momentum at null infinity in five dimensions

Kentaro Tanabe; Norihiro Tanahashi; Tetsuya Shiromizu

Angular momentum at null infinity in five dimensions

Kentaro Tanabe, Norihiro Tanahashi, Tetsuya Shiromizu

Research output: Contribution to conference › Paper › peer-review

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
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: Sept 21 2010 → Sept 25 2010

Other

Other	20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
Country/Territory	Japan
City	Kyoto
Period	9/21/10 → 9/25/10

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

Cite this

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title = "Angular momentum at null infinity in five dimensions",

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.",

author = "Kentaro Tanabe and Norihiro Tanahashi and Tetsuya Shiromizu",

year = "2010",

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T1 - Angular momentum at null infinity in five dimensions

AU - Tanabe, Kentaro

AU - Tanahashi, Norihiro

AU - Shiromizu, Tetsuya

PY - 2010/12/1

Y1 - 2010/12/1

N2 - 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.

AB - 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.

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M3 - Paper

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T2 - 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010

Y2 - 21 September 2010 through 25 September 2010

ER -

Angular momentum at null infinity in five dimensions

Abstract

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All Science Journal Classification (ASJC) codes

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