Curvature Dynamics in General Relativity

被引：3

作者：

van Holten, Jan W. W. ^{[1
,2
]}

机构：

[1] Nikhef, Sci Pk 105, NL-1098 XG Amsterdam, Netherlands

[2] Leiden Univ, Lorentz Inst, NL-2333 CC Leiden, Netherlands

来源：

UNIVERSE | 2023年 / 9卷 / 02期

关键词：

general relativity; Weyl tensor; gravitational waves;

D O I：

10.3390/universe9020110

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The equations of general relativity are recast in the form of a wave equation for the Weyl tensor. This allows reformulation of gravitational wave theory in terms of curvature waves, rather than metric waves. The existence of two transverse polarization states for curvature waves is proven and in the linearized approximation the quadrupole formula is rederived. A perturbative scheme to extend the linearized result to the non-linear regime is outlined.

引用

页数：12

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