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Angular momentum at null infinity in higher dimensions

Kentaro Tanabe, Tetsuya Shiromizu, Shunichiro Kinoshita

Abstract

We define the angular momentum at null infinity in higher dimensions. The asymptotic symmetry at null infinity becomes the Poincare group in higher dimensions. This fact implies that the angular momentum can be defined without any ambiguities such as supertranslation in four dimensions. Indeed we can show that the angular momentum in our definition is transformed covariantly with respect to the Poincare group.

Angular momentum at null infinity in higher dimensions

Abstract

We define the angular momentum at null infinity in higher dimensions. The asymptotic symmetry at null infinity becomes the Poincare group in higher dimensions. This fact implies that the angular momentum can be defined without any ambiguities such as supertranslation in four dimensions. Indeed we can show that the angular momentum in our definition is transformed covariantly with respect to the Poincare group.

Paper Structure

This paper contains 13 sections, 62 equations.

Table of Contents

  1. introduction
  2. Review of our previous work
  3. Bondi coordinates and Einstein equations
  4. Asymptotic flatness at null infinity
  5. Asymptotic symmetry
  6. Bondi angular momentum and radiation formula
  7. Bondi mass and angular momentum
  8. Radiation formula
  9. Poincaré covariance
  10. Poincaré covariance
  11. Covariance of Bondi energy-momentum
  12. Poincaré covariance of Bondi angular momentum
  13. summary and outlook