黑洞时空中重整化应力能量计算的通用方法
广义相对论与量子宇宙学
2016-12-02 v4 高能物理 - 理论
摘要
我们在此报告一种计算黑洞(BH)时空中重整化应力能量张量(RSET)的新方法,该方法也应适用于动力学黑洞与旋转黑洞。这一新方法仅要求时空容许单一对称性。迄今我们发展了该方法的三种变体,分别针对静止、球对称或轴对称黑洞。我们利用此方法计算了Schwarzschild与Reissner-Nordstrom背景下、几种量子态的极小耦合无质量标量场的RSET。我们在此给出Schwarzschild情形下Unruh态(描述黑洞蒸发的态)的RSET结果。RSET在弱场为I型,并在 时变为IV型。随后我们利用RSET结果探究弱能量条件与零能量条件的破坏。我们发现从 到视界全程均破坏这两个条件。我们还发现平均弱能量条件被一类(不稳定)圆时有测地线所破坏。最引人注目的是,在 处的圆零测地线破坏了平均零能量条件。
引用
@article{arxiv.1608.03806,
title = {Versatile method for renormalized stress-energy computation in black-hole spacetimes},
author = {Adam Levi and Amos Ori},
journal= {arXiv preprint arXiv:1608.03806},
year = {2016}
}
备注
5 pages, 3 figures. V2: Added two important references (Refs. [18] and [19]), which already showed ANEC violations previously, although for different fields. Title was consequently changed, and also various modifications were made in the text. Overall, the paper's content is unchanged. V3: Typo corrected. V4: Updated to match the version in PRL