arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2107.05656gr-qcastro-ph.HEhep-th
收藏

解析和渐近平坦的多毛(超紧)黑洞解及其轴向扰动

Analytic and asymptotically flat hairy (ultra-compact) black-hole solutions and their axial perturbations

Athanasios Bakopoulos, Theodoros Nakas

摘要:

在这项工作中,我们考虑一个非常简单的引力理论,其中包含一个标量场,其动力学和潜在的条款最低限度地耦合到重力,而标量场被假定为具有库仑形式。在这个理论的背景下,我们研究了解析的,渐近平坦的,和经常(超紧)黑洞解与非平凡的标量头发的二级类型。首先,我们考察了静态球对称黑洞解的性质--它最早出现在1504.08209 [gr-qc]中--我们发现在时空的因果区域中,支持我们的解所需的应力-能量张量满足强能量条件。然后,利用慢转近似,将静态解推广为慢转解,并明确地确定了其角速度$ω(r)$。我们还发现,我们的超紧凑的解决方案的角速度总是较大的角速度相比,相应的同等质量的缓慢旋转的史瓦西黑洞。此外,我们通过确定类薛定谔方程和有效势,研究了导出解的轴向扰动。我们证明了在我们理论的自由参数的参数空间中存在一个区域,该区域允许存在稳定的超紧黑洞解。具体地说,我们计算出最紧凑和稳定的黑洞解比史瓦西黑洞小0.551倍,而它的旋转速度比缓慢旋转的史瓦西黑洞快2.491倍。最后,我们提出了没有进入细节的推广所得出的渐近平坦的解决方案的渐近(A)dS解决方案。

英文摘要:

In this work, we consider a very simple gravitational theory that contains a scalar field with its kinetic and potential terms minimally coupled to gravity, while the scalar field is assumed to have a coulombic form. In the context of this theory, we study an analytic, asymptotically flat, and regular (ultra-compact) black-hole solutions with non-trivial scalar hair of secondary type. At first, we examine the properties of the static and spherically symmetric black-hole solution -- firstly appeared in 1504.08209 [gr-qc] -- and we find that in the causal region of the spacetime the stress-energy tensor, needed to support our solution, satisfies the strong energy conditions. Then, by using the slow-rotating approximation, we generalize the static solution into a slowly rotating one, and we determine explicitly its angular velocity $ω(r)$. We also find that the angular velocity of our ultra-compact solution is always larger compared to the angular velocity of the corresponding equally massive slow-rotating Schwarzschild black hole. In addition, we investigate the axial perturbations of the derived solutions by determining the Schrödinger-like equation and the effective potential. We show that there is a region in the parameter space of the free parameters of our theory, which allows for the existence of stable ultra-compact black hole solutions. Specifically, we calculate that the most compact and stable black hole solution is 0.551 times smaller than the Schwarzschild one, while it rotates 2.491 times faster compared to the slow-rotating Schwarzschild black hole. Finally, we present without going into details the generalization of the derived asymptotically flat solutions to asymptotically (A)dS solutions.

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。

↑