Lorentz covariant treatment of the Kerr--Schild geometry
Lorentz covariant treatment of the Kerr--Schild geometry
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Kerr-Schild 几何的洛伦兹协变处理
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
F. Gürsey
中科院分区：
文献类型：
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作者：
M. Gürses;F. Gürsey
它表明，洛伦兹协变坐标系可以选择的情况下，克尔-Schild几何导致的赝能量动量张量的消失，从而爱因斯坦方程的线性。引入了延迟时间和延迟距离，并将Lienard-Wiechert势推广到世界线奇点情形的引力，导出了Bonnor和Vaidya型解.一个加速版本的de Sitter度量也得到了。由于线性，可以对这些解进行复杂的平移，从而得到特劳特曼-纽曼技术的特殊相对论版本，并且可以导出自旋系统的洛伦兹协变解，包括与扁球体上的克尔度量相匹配的新的各向异性内部度量。
It is shown that a Lorentz covariant coordinate system can be chosen in the case of the Kerr–Schild geometry which leads to the vanishing of the pseudo energy–momentum tensor and hence to the linearity of the Einstein equations. The retarded time and the retarded distance are introduced and the Lienard–Wiechert potentials are generalized to gravitation in the case of world‐line singularities to derive solutions of the type of Bonnor and Vaidya. An accelerated version of the de Sitter metric is also obtained. Because of the linearity, complex translations can be performed on these solutions, resulting in a special relativistic version of the Trautman–Newman technique and Lorentz covariant solutions for spinning systems can be derived, including a new anisotropic interior metric that matches to the Kerr metric on an oblate spheroid.