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arXiv 1807.08896gr-qchep-th
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无鬼影无穷导数引力场中的非奇异旋转紧致天体

Towards nonsingular rotating compact object in ghost-free infinite derivative gravity

Luca Buoninfante, Alan S. Cornell, Gerhard Harmsen, Alexey S. Koshelev, Gaetano Lambiase, João Marto, Anupam Mazumdar

摘要:

爱因斯坦的广义相对论的真空解提供了一个旋转度规,它有一个被内外视界覆盖的环奇点和一个因区域。本文将讨论无重影、二次曲率、无穷导数引力(IDG)如何解决环的奇异性。在IDG中,引力相互作用的非定域性可以通过使度规势处处有限(包括在$r=0$处)而涂抹掉delta-Dirac源分布。我们表明,同样的功能也适用于旋转度量。我们可以解决环奇点,使没有地平线形成的线性制度,涂抹出一个环上的δ源分布。我们还将表明,克尔度量不解决完全的非线性运动方程的鬼影免费二次曲率IDG。

英文摘要:

The vacuum solution of Einstein's theory of general relativity provides a rotating metric with a ring singularity, which is covered by the inner and outer horizons, and an ergo region. In this paper, we will discuss how ghost-free, quadratic curvature, Infinite Derivative Gravity (IDG) may resolve the ring singularity. In IDG the non-locality of the gravitational interaction can smear out the delta-Dirac source distribution by making the metric potential finite everywhere including at $r=0$. We show that the same feature also holds for a rotating metric. We can resolve the ring singularity such that no horizons are formed in the linear regime by smearing out a delta-source distribution on a ring. We will also show that the Kerr-metric does not solve the full non-linear equations of motion of ghost-free quadratic curvature IDG.

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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