Pathologies of hyperbolic gauges in general relativity and other field theories.

Alcubierre, Miguel; Masso, Joan

doi:10.1103/PhysRevD.57.R4511

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

Pathologies of hyperbolic gauges in general relativity and other field theories.

MPS-Authors

Alcubierre, Miguel
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Masso, Joan
Astrophysical Relativity, 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)

pR4511_1.pdf
(出版社版), 84KB

付随資料 (公開)

There is no public supplementary material available

引用

Alcubierre, M., & Masso, J. (1998). Pathologies of hyperbolic gauges in general relativity and other field theories. Physical Review D, 57(8), 4511-4515. doi:10.1103/PhysRevD.57.R4511.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-5989-1

要旨

We present a mathematical characterization of hyperbolic gauge pathologies in electrodynamics and general relativity. We show analytically how non-linear gauge terms can produce a blow-up of some fields along characteristics. We expect similar phenomena to appear in any other gauge field theory. We also present numerical simulations where such blow-ups develop and show how they can be properly identified by performing a convergence analysis. We stress the importance of these results for the particular case of numerical relativity, where we offer some cures based on the use of non-hyperbolic gauges.