论文标题
四维爱因斯坦 - 洛韦洛克重力中的黑洞
Black holes in the four-dimensional Einstein-Lovelock gravity
论文作者
论文摘要
最近在[D. Glavan和C. Lin，物理。莱特牧师。 {\ bf 124}，081301（2020）]，它与纯的爱因斯坦理论不同，即绕过Lovelock定理并避免了Ostrogradsky的不稳定。该理论是在$ d> 4 $尺寸中提出的，其动作由爱因斯坦 - 希尔伯特（Einstein-Hilbert）的术语组成，而高斯 - 邦纳特（Gauss-Bonnet）术语乘以$ 1/（d-4）$。然后，四维理论被定义为限制$ d \至4 $。在这里，我们将这种方法推广到四维爱因斯坦 - 洛沃克理论，并制定了最通用的静态$ 4D $黑洞解决方案，允许$λ$ - term（正或负）和电荷$ q $。由于在一般情况下无法以封闭形式找到度量函数，因此我们公开开发并共享为每组参数构建度量函数的代码。
A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's theorem and avoids Ostrogradsky instability. The theory was formulated in $D > 4$ dimensions and its action consists of the Einstein-Hilbert term with a cosmological constant, while the Gauss-Bonnet term multiplied by a factor $1/(D-4)$. Then, the four-dimensional theory is defined as the limit $D \to 4$. Here we generalize this approach to the four-dimensional Einstein-Lovelock theory and formulate the most general static $4D$ black-hole solution allowing for a $Λ$-term (either positive or negative) and the electric charge $Q$. As metric functions cannot be found in a closed form in the general case, we develop and share publicly the code which constructs the metric functions for every given set of parameters.
