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arXiv 2108.12342gr-qc
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TEGR中作为运动物质球的运动黑洞

A moving black hole in TEGR as a moving matter ball

E. D. Emtsova, A. N. Petrov

AI总结:

本文在广义相对论的远平行等价理论(TEGR)框架下,将协变形式体系应用于匀速运动的史瓦西黑洞解,构造出不变的全局守恒质量与动量,验证了该方法的有效性。

摘要:

本文研究了此前在Teleparallel Equivalent of General Relativity(TEGR,广义相对论的远平行等价理论)框架下发展的、关于坐标和局部洛伦兹变换均协变的形式体系的应用可能性。将该形式体系应用于一个(相对于遥远静止观测者)以恒定速度运动的史瓦西黑洞解,构造出了坐标不变且洛伦兹不变的全局守恒质量与动量。尽管所研究的解至少不具备空间位移的Killing矢量,仍得到了合理的结果。计算过程与闵可夫斯基空间中运动物质球的质量和动量计算十分相似,且这种相似性起到了关键作用。

英文摘要:

Possibilities of the covariant with respect to both coordinate and local Lorentz transformations formalism developed earlier in the framework of Teleparallel Equivalent of General Relativity (TEGR) are studied. The formalism is applied to a solution for a moving with constant velocity (with respect to distant static observers) Schwarzschild black hole. Coordinate and Lorentz invariant global conserved mass and momentum are constructed. The acceptable results are obtained in spite of the solution under consideration has no, at least, Killing vectors of space displacements. Calculations are quite analogous to calculating the mass and momentum of a moving matter ball in Minkowski space, and this analogy is used essentially.

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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