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arXiv 1503.02016hep-thgr-qc
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无质量粒子碰撞中的引力辐射

Gravitational radiation in massless-particle collisions

Pavel Spirin, Theodore N. Tomaras

摘要:

在经典广义相对论的背景下,对史瓦西半径与碰撞参量之比$α\equiv 2 r_S/b$较小的情况下,微扰地研究了无质量粒子碰撞中引力辐射的角特性和频率特性.粒子被描述与他们的轨迹,而主导的引力作用的非线性项的贡献也被考虑在内。旧的量子结果在零频率极限$ω\ll 1/b$中重现。在相对于初始粒子轨迹的向前和向后方向上的角度为$α$的窄锥外部的辐射效率$ε\equiv E_{\rm rad}/2E$由$ε\sim α^2$给出,并且由具有特征频率$ω\sim {\mathcal O}(1/r_S)$的辐射支配。

英文摘要:

The angular and frequency characteristics of the gravitational radiation emitted in collisions of massless particles is studied perturbatively in the context of classical General Relativity for small values of the ratio $α\equiv 2 r_S/b$ of the Schwarzschild radius over the impact parameter. The particles are described with their trajectories, while the contribution of the leading nonlinear terms of the gravitational action is also taken into account. The old quantum results are reproduced in the zero frequency limit $ω\ll 1/b$. The radiation efficiency $ε\equiv E_{\rm rad}/2E$ outside a narrow cone of angle $α$ in the forward and backward directions with respect to the initial particle trajectories is given by $ε\sim α^2$ and is dominated by radiation with characteristic frequency $ω\sim {\mathcal O}(1/r_S)$.

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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