.png){kind=icon}
返回
Linearised conformal Einstein field equations
.png){kind=icon}
OA
AI
DOI：10.1088/1361-6382/ace606.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The linearisation of a second-order formulation of the conformal Einstein field equations (CEFEs) in generalised harmonic gauge (GHG), with trace-free matter is derived. The linearised equations are obtained for a general background and then particularised for the study linear perturbations around a flat background-the inversion (conformal) representation of the Minkowski spacetime-and the solutions discussed. We show that the generalised Lorenz gauge (defined as the linear analogue of the GHG-gauge) propagates. Moreover, the equation for the conformal factor can be trivialised with an appropriate choice for the gauge source functions; this permits a scri-fixing strategy using gauge source functions for the linearised wave-like CEFE-GHG, which can in principle be generalised to the nonlinear case. As a particular application of the linearised equations, the far-field and compact source approximation is employed to derive quadrupole-like formulae for various conformal fields such as the perturbation of the rescaled Weyl tensor.
Keyword:
conformal boundary
conformal Einstein field equations
scri-fixing
期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
机构
引用论文
.png){kind=icon}
Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions球形对称性作为无约束双曲面演化II的测试用例: 规范条件
OAAI
OAAI分享收藏Estimation of tropical cyclone central pressure from warm core intensity observed by the Advanced Microwave Sounding Unit-A (AMSU-A)利用高级微波探测单元-A（AMSU-A）观测到的暖心强度估计热带气旋中心气压OAAI
OAAI分享收藏分享收藏分享收藏
查看更多内容