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arXiv 0910.4073gr-qc
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纯辐射时空的一个稳定性结果

A stability result for purely radiative spacetimes

C. Lübbe, J. A. Valiente Kroon

摘要:

给出了一类由双曲数据产生的纯辐射真空时空的存在性和稳定性结果。这一结果将类闵可夫斯基时空的半引力存在性结果推广到参考解包含引力辐射的情况。分析利用扩展的共形场方程和基于共形测地线的规范,使扰动解的共形边界的位置和结构是已知的先验。

英文摘要:

An existence and stability result for a class of purely radiative vacuum spacetimes arising from hyperboloidal data is given. This result generalises semiglobal existence results for Minkowski-like spacetimes to the case where the reference solution contains gravitational radiation. The analysis makes use of the extended conformal field equations and a gauge based on conformal geodesics so that the location and structure of the conformal boundary of the perturbed solutions is known a priori.

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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