标题： Rastall理论中的旋转黑洞 显示英文标题

标题： Rotating black hole in Rastall theory

摘要： 旋转的黑洞解在修改引力理论中很重要，因为它们为通过天体物理观测测试这些理论提供了场所。 非旋转的黑洞很难被测试，因为黑洞自旋在任何天体物理过程中都非常重要。 我们提出了最近在Rastall理论框架下获得的周围有完美流体的球对称精确黑洞解的旋转对应解，即旋转的Rastall黑洞，它推广了Kerr-Newman黑洞解。 反过来，我们分析了被物质如尘埃和第五元素场包围的Kerr-Newman黑洞的具体情况。 有趣的是，对于一组参数和选定的周围场，存在一个临界旋转参数（$a=a_{E}$），它对应于具有退化视界的极端黑洞，而对于$a<a_{E}$，它描述了一个非极端黑洞，具有柯西视界和事件视界，而当$a>a_{E}$的值为$a_E$时，没有黑洞，这也受到这些参数的影响。 我们还讨论了与旋转Rastall黑洞相关的热力学量，并分析了有效势的行为下的粒子运动。 显示英文摘要

摘要： Rotating black hole solutions in theories of modified gravity are important as they offer an arena to test these theories through astrophysical observation. The non-rotating black hole can be hardly tested since the black hole spin is very important in any astrophysical process. We present rotating counterpart of a recently obtained spherically symmetric exact black hole solution surrounded by perfect fluid in the context of Rastall theory, viz, rotating Rastall black hole that generalize the Kerr-Newman black hole solution. In turn, we analyze the specific cases of the Kerr-Newman black holes surrounded by matter like dust and quintessence fields. Interestingly, for a set of parameters and a chosen surrounding field, there exists a critical rotation parameter ($a=a_{E}$), which corresponds to an extremal black hole with degenerate horizons, while for $a<a_{E}$, it describes a non-extremal black hole with Cauchy and event horizons, and no black hole for $a>a_{E}$ with value $a_E$ is also influenced by these parameters. We also discuss the thermodynamical quantities associated with rotating Rastall black hole, and analyze the particle motion with the behavior of effective potential.