Post-linear metric of a compact source of matter
Post-linear metric of a compact source of matter
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DOI：
10.1103/physrevd.100.084005
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发表时间：
2019-10
影响因子：
5
通讯作者：
S. Zschocke
中科院分区：
文献类型：
--
作者：
S. Zschocke
多极后闵可夫斯基 (MPM) 形式主义代表了一种确定紧凑物质源外部度量密度的方法。在 MPM 形式中，度量密度以调和坐标和对称无迹 (STF) 多极子形式给出。在这项研究中，使用这种形式的后线性度量密度来确定紧致物质源外部的后线性度量张量。度量张量以调和坐标和 STF 多极子形式给出。后线性度量系数与积分过程相关联。这些后线性度量系数的积分是针对固定源的情况明确执行的，其中考虑源的第一多极（单极和四极）。这些研究是进一步研究光传播理论的必要条件，旨在太阳系中高精度的天体测量，其中太阳系天体度量张量的后线性系数变得相关。
The Multipolar Post-Minkowskian (MPM) formalism represents an approach for determining the metric density in the exterior of a compact source of matter. In the MPM formalism the metric density is given in harmonic coordinates and in terms of symmetric tracefree (STF) multipoles. In this investigation, the post-linear metric density of this formalism is used in order to determine the post-linear metric tensor in the exterior of a compact source of matter. The metric tensor is given in harmonic coordinates and in terms of STF multipoles. The post-linear metric coefficients are associated with an integration procedure. The integration of these post-linear metric coefficients is performed explicitly for the case of a stationary source, where the first multipoles (monopole and quadrupole) of the source are taken into account. These studies are a requirement for further investigations in the theory of light propagation aiming at highly precise astrometric measurements in the solar system, where the post-linear coefficients of the metric tensor of solar system bodies become relevant.