论文标题
在4D爱因斯坦高斯 - 骨网中慢慢旋转黑洞
Slowly Rotating Black Holes in 4D Einstein Gauss-Bonnet Gravity
论文作者
论文摘要
自从定义明确定义的$ d \ rightarrow 4 $限制的正规化4D Einstein Gauss-Bonnet（4DEGB）引力的限制以来，人们对将其作为Einstein一般一般性相关理论的替代方案而引起了极大的兴趣。在本文中，我们构建了缓慢旋转的黑洞溶液，以在渐近平坦，De Sitter和Anti-De Sitter SpaceTime中进行4DEGB重力。在旋转参数中的领先顺序时，对于所有三种情况，都会得出和研究度量函数的精确解。我们比较了解决方案的物理性质（最内向的圆形轨道，光子环，黑洞阴影等）如何通过相对于标准爱因斯坦重力结果的4DEGB理论的改变耦合强度来修改。我们发现，4DEGB重力中的消失或负宇宙常数在黑洞溶液上执行了最小质量，而正宇宙常数则强制执行最小\ textit {and}最大质量，其最大质量具有直接类似于Reissner-Nordström-nordströmde sitter sitter sitter空间。除此之外，许多物理特性在质量上与一般相对论相似，通常在低（近乎最小的）质量状态下发现最大的偏差。
Since the recent derivation of a well-defined $D\rightarrow 4$ limit for regularized 4D Einstein Gauss-Bonnet (4DEGB) gravity, there has been considerable interest in testing it as an alternative to Einstein's general theory of relativity. In this paper we construct slowly rotating black hole solutions for 4DEGB gravity in asymptotically flat, de Sitter, and anti-de Sitter spacetimes. At leading order in the rotation parameter, exact solutions of the metric functions are derived and studied for all three of these cases. We compare how physical properties (innermost stable circular orbits, photon rings, black hole shadow, etc.) of the solutions are modified by varying coupling strengths of the 4DEGB theory relative to standard Einstein gravity results. We find that a vanishing or negative cosmological constant in 4DEGB gravity enforces a minimum mass on the black hole solutions, whereas a positive cosmological constant enforces both a minimum \textit{and} maximum mass with a horizon root structure directly analogous to the Reissner-Nordström de Sitter spacetime. Besides this, many of the physical properties are qualitatively similar to general relativity, with the greatest deviations typically being found in the low (near-minimal) mass regime.
