具有德克尔-赵暗物质源的柱对称黑洞
Cylindrically Symmetric Black Holes Sourced by Dekel-Zhao Dark Matter
AI总结：
本文研究了由德克尔-赵暗物质密度分布源的(3+1)维黑洞弦和(2+1)维黑洞的解析解，发现事件视界半径对内斜率参数a敏感，当超过临界阈值时视界消失形成裸奇点，同时暗物质环境在里奇和克雷奇曼标量中引入曲率奇点，且有效能量动量张量分析显示尽管null、weak和strong能量条件被严格满足，但主导能量条件在低维情形下因高切向压力梯度被违反，暗物质还改变了霍金温度和自由能而不影响局部或全局稳定性。
摘要：
在本文中，我们获得了由德克尔-赵暗物质（DM）密度分布源的（3+1）维黑洞弦和（2+1）维黑洞的解析解。我们的结果表明，事件视界半径对内斜率参数a敏感；具体来说，超过临界阈值后，视界消失，导致裸奇点的形成。我们发现，暗物质环境在里奇和克雷奇曼标量中引入曲率奇点，这些奇点在真空BTZ情形下不存在。此外，对有效能量动量张量的分析显示，尽管null、weak和strong能量条件被严格满足，但主导能量条件在低维情形下由于高切向压力梯度被违反。我们还发现，暗物质修改了霍金温度和自由能，而不影响局部或全局稳定性。值得注意的是，暗物质分布将原本具有常曲率BTZ时空转变为奇异时空，表明DM分布的固有刚性是这些解因果结构的决定性因素。
英文摘要：
In this work, we obtain analytical solutions for a $(3+1)$-dimensional black string and a $(2+1)$-dimensional black hole, both sourced by the Dekel-Zhao dark matter (DM) density profile. Our results indicate that the event horizon radius is sensitive to the inner slope parameter $a$; specifically, beyond a critical threshold, the horizon vanishes, leading to the formation of naked singularities. We find that the DM environment induces curvature singularities in the Ricci and Kretschmann scalars, which are absent in the vacuum BTZ case. Furthermore, an analysis of the effective energy-momentum tensor shows that while the null, weak, and strong energy conditions are strictly satisfied, the dominant energy condition is violated in the lower-dimensional scenario due to the high tangential pressure gradient. We also observe that DM modifies the Hawking temperature and free energy without compromising local or global stability. Notably, the DM distribution transforms the originally constant-curvature BTZ spacetime into a singular one, suggesting that a inherent stiffness of the DM profile is a determinant factor in the causal structure of these 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。
