带 quintessence 包围的 dyonic 旋转宇宙黑洞
Dyonic rotating cosmological black hole surrounded by quintessence
- Universidade Federal Fluminense(弗鲁米嫩塞联邦大学)
机构由 AI 辅助整理,请以论文原文为准。
AI总结:
该研究构造了带 quintessence 暗能量的 dyonic 旋转宇宙黑洞新度规,分析了 $\Lambda$ 和 $\alpha$ 对其视界、能层等的影响,验证了标量曲率等特性。
AI中文摘要:
本工作中,我们构造了一个描述存在 quintessence 暗能量时带有电荷和磁荷的旋转宇宙黑洞的新度规,其中宇宙学常数和 quintessence 与外部物质相关联。从史瓦西型度规出发,考虑函数 $f(r)$ 中的所有能量贡献,我们通过纽曼-贾尼斯算法引入旋转,采用了独特且通用的复化规则,避免了可能的歧义。假设度规满足带物质的爱因斯坦场方程,我们计算了事件视界条件、总应力-能量张量 $T_{\mu\nu}$,以及克雷奇曼标量和里奇标量。我们还分析了宇宙学常数 $\Lambda$ 和 quintessence 参数 $\alpha$ 对事件视界和能层的影响。在 $\alpha \rightarrow 0$ 的极限下,标量曲率与真空结果不同,即 $R \neq -4\Lambda$,而奇点区域保持不变。最后,我们通过该黑洞解存在所需的能量密度和压强,研究了测试粒子的角向和旋转速度,以及能量条件。
英文摘要:
In this work, we constructed a new metric describing a rotating cosmological black hole with electric and magnetic charges in the presence of quintessence dark energy, where the cosmological constant and quintessence are associated with external matter. Starting from a Schwarzschild-type metric and considering all energy contributions in the function $f(r)$, we introduced rotation through the Newman--Janis algorithm using a unique and general complexification rule, avoiding possible ambiguities. Assuming that the metric satisfies the Einstein field equations with matter, we calculate the event horizon condition, the total stress--energy tensor $T_{μν}$, and the Kretschmann and Ricci scalars. We also analyze the influence of the cosmological constant $Λ$ and quintessence parameter $α$ on the event horizon and ergosphere. In the limit $α\rightarrow 0$, the scalar curvature differs from the vacuum result, $R \neq -4Λ$, while the singularity region remains unchanged. Finally, we investigate the angular and rotational velocities of a test particle, as well as the energy conditions, through the energy density and pressures required for the existence of this black hole solution.