The Trautman-Bondi mass of hyperboloidal initial data sets

Chrusciel, Piotr T.; Jezierski, Jazek; Leski, Szymon

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

The Trautman-Bondi mass of hyperboloidal initial data sets

MPS-Authors

Chrusciel, Piotr T.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

There are no locators available

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

0307109.pdf
(プレプリント), 449KB

付随資料 (公開)

There is no public supplementary material available

引用

Chrusciel, P. T., Jezierski, J., & Leski, S. (2004). The Trautman-Bondi mass of hyperboloidal initial data sets. Advances in Theoretical and Mathematical Physics, 8(1), 83-139. Retrieved from http://projecteuclid.org/euclid.atmp/1091475314.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-5151-1

要旨

We give a definition of mass for conformally compactifiable initial data sets. The asymptotic conditions are compatible with existence of gravitational radiation, and the compactifications are allowed to be polyhomogeneous. We show that the resulting mass is a geometric invariant, and we prove positivity thereof in the case of a spherical conformal infinity. When R(g) - or, equivalently, the trace of the extrinsic curvature tensor - tends to a negative constant to order one at infinity, the definition is expressed purely in terms of three-dimensional or two-dimensional objects.