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arXiv 1808.04569gr-qc
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红外修正非局域引力模型中旋转物体的度量

Metric for Rotating object in Infrared Corrected Nonlocal Gravity Model

Utkarsh Kumar, Sukanta Panda, Avani Patel

摘要:

在这里,我们推导出旋转物体周围的时空度规的引力作用量有$R\Box^{-2} R $的爱因斯坦-希尔伯特作用量的非局部修正。从一般的定常轴对称度规出发,在线性化的引力极限下,我们求解了包含旋转质量的能量动量张量在内的修正作用量的运动方程。我们还从静态度量使用Demanski-Janis-Newmann算法推导出旋转度量。最后,通过计算我们理论中的标架拖曳效应,并与广义相对论和重力探测器B的结果进行比较,得到了对$M$值的限制,其中$M$是理论的质量标度。

英文摘要:

Here, we derive the metric for the spacetime around rotating object for the gravity action having nonlocal correction of $R\Box^{-2} R $ to the Einstein-Hilbert action. Starting with the generic stationary, axisymmetric metric, we solve the equations of motion in linearized gravity limit for the modified action including energy-momentum tensor of the rotating mass. We also derive the rotating metric from the static metric using the Demanski-Janis-Newmann algorithm. Finally, we obtain the constraint on the value of $M$ by calculating the frame dragging effect in our theory and comparing it with that of General Relativity and Gravity Probe B results, where $M$ is the mass scale of the theory.

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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