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arXiv 1402.6491gr-qc
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旋转体引力红移的分析

An analysis of gravitational redshift from rotating body

Anuj Kumar Dubey, A K Sen

摘要:

引力红移的计算通常不考虑物体的旋转。忽略旋转,时空的几何可以用球对称史瓦西几何来描述。自转对广义相对论的影响很大,这给引力红移的研究带来了新的挑战。当考虑旋转时,球对称性丢失,非对角项出现在度量中。时空的几何可以用克尔族的解来描述。本文利用克尔度规讨论了旋转体的引力红移。在牛顿角动量近似下进行了数值计算。发现引力红移的大小不仅受中心体自旋方向的影响,而且还与光子在中心体上的位置(纬度)有关。计算了引力红移从赤道区到非赤道区的变化,并详细讨论了其意义。

英文摘要:

Gravitational redshift is generally calculated without considering the rotation of a body. Neglecting the rotation, the geometry of space time can be described by using the spherically symmetric Schwarzschild geometry. Rotation has great effect on general relativity, which gives new challenges on gravitational redshift. When rotation is taken into consideration spherical symmetry is lost and off diagonal terms appear in the metric. The geometry of space time can be then described by using the solutions of Kerr family. In the present paper we discuss the gravitational redshift for rotating body by using Kerr metric. The numerical calculations has been done under Newtonian approximation of angular momentum. It has been found that the value of gravitational redshift is influenced by the direction of spin of central body and also on the position (latitude) on the central body at which the photon is emitted. The variation of gravitational redshift from equatorial to non - equatorial region has been calculated and its implications are discussed in detail.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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