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arXiv 1409.2109gr-qchep-th
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关于正则修正C-度量

On a regular modified C-metric

Hristu Culetu

备注：
title changed, 7 pages, no figures
发表信息：
IARD10 Conference, IOP Conf. Series: Journal of Physics: Conf. Series 845 (2017) 012006
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摘要：

研究了C-度量的一种特殊形式，给出了一种非标准的解释，并消除了$r = 0$上的任何奇异性。在加速黑洞的弱场极限下，静态观测者的本征加速度$A$为常数，黑洞的几何形状为共形平坦（anti-de Sitter）。应力张量为$Λ$型（$Λ= -3a^{2}/8πG$），其能量密度为负值.我们建议，$Λ$是负责的惯性力，出现在均匀加速系统（远离加速源$m$和$r << 1/a$的$a^{r}$的表达式中的主导项是$-a cosθ$）。应力张量的分量和共形平坦史瓦西时空的所有不变量都由指数因子$exp(-k/r), k > 0$调节。

英文摘要：

A particular form of the C-metric is investigated, giving it a non-standard interpretation and removing any singularity at $r = 0$. In the weak field limit of the accelerating black hole, the proper acceleration $A$ of a static observer is constant and the geometry becomes conformally-flat (anti de Sitter). The stress tensor is of $Λ$-type ($Λ= -3a^{2}/8πG$) and its energy density is negative. We propose that $Λ$ is responsible of inertial forces that appear in uniformly accelerated systems (far from the accelerating source $m$ and for $r << 1/a$ the dominant term in the expression of $a^{r}$ is $-a cosθ$). The components of the stress tensor and all invariants of the conformally-flat Schwarzschild spacetime are regulated by means of the exponential factor $exp(-k/r), k > 0$.

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