论文标题
渐近保姆和反de保姆的稳定性在$ 4D $正规化的爱因斯坦 - 加斯 - 鲍尼特理论中
Stability of asymptotically de Sitter and anti-de Sitter black holes in $4D$ regularized Einstein-Gauss-Bonnet theory
论文作者
论文摘要
最近在[D. Glavan和C. Lin，物理。莱特牧师。 \ textbf {124}，081301（2020）]的表述与爱因斯坦理论不同，使我们能够绕过lovelock定理。该动作以更高的维度（$ d> 4 $）制定，通过将高斯 - 骨网校正添加到传统的爱因斯坦 - 希尔伯特（Einstein-Hilbert）动作中，并具有宇宙常数。四维时空是通过限制$ d \ rightarrow 4 $来构建的。我们通过分析矢量和标量通道中的重力扰动的时域概况，明确发现黑洞的稳定性参数区域。除了已知的艾科纳尔不稳定性外，我们还发现了由于正宇宙常数而导致的不稳定性。相反，渐近的反de保姆黑洞除了艾科纳尔一个外没有其他不稳定。
The regularized four-dimensional Einstein-Gauss-Bonnet model has been recently proposed in [D. Glavan and C. Lin, Phys. Rev. Lett. \textbf{124}, 081301 (2020)] whose formulation is different of the Einstein theory, allowing us to bypass the Lovelock theorem. The action is formulated in higher dimensions ($D>4$) by adding the Gauss-Bonnet correction to the conventional Einstein-Hilbert action with a cosmological constant. The four-dimensional spacetime is constructed through dimensional regularization by taking the limit $D\rightarrow 4$. We find explicitly the parametric regions of stability of black holes for the asymptotically flat and (anti-)de Sitter spacetimes by analyzing the time-domain profiles for gravitational perturbations in both vector and scalar channels. In addition to the known eikonal instability we find the instability due to the positive cosmological constant. On the contrary, asymptotically anti-de Sitter black holes have no other instability than the eikonal one.
