Gauge and constraint degrees of freedom: from analytical to numerical 
approximations in General Relativity

Bona, C.; Alic, Daniela

doi:10.1051/eas:0830006

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

会議論文

Gauge and constraint degrees of freedom: from analytical to numerical approximations in General Relativity

MPS-Authors

/persons/resource/persons2709

Alic, Daniela
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)

0710.4425v1.pdf
(プレプリント), 156KB

付随資料 (公開)

There is no public supplementary material available

引用

Bona, C., & Alic, D. (2008). Gauge and constraint degrees of freedom: from analytical to numerical approximations in General Relativity. In Spanish Relativity Meeting - Encuentros Relativistas Españoles ERE2007 Relativistic Astrophysics and Cosmology Tenerife, Spring 2008 (pp. 69-80).

引用: https://hdl.handle.net/11858/00-001M-0000-0012-9D06-9

要旨

The harmonic formulation of Einstein's field equations is considered, where the gauge conditions are introduced as dynamical constraints. The difference between the fully constrained approach (used in analytical approximations) and the free evolution one (used in most numerical approximations) is pointed out. As a generalization, quasi-stationary gauge conditions are also discussed, including numerical experiments with the gauge-waves testbed. The complementary 3+1 approach is also considered, where constraints are related instead with energy and momentum first integrals and the gauge must be provided separately. The relationship between the two formalisms is discussed in a more general framework (Z4 formalism). Different strategies in black hole simulations follow when introducing singularity avoidance as a requirement. More flexible quasi-stationary gauge conditions are proposed in this context, which can be seen as generalizations of the current 'freezing shift' prescriptions.