论文标题
球形对称性中Z2对称EDGB重力的动力学
Dynamics of a Z2 symmetric EdGB gravity in spherical symmetry
论文作者
论文摘要
我们报告了对爱因斯坦Dilaton高斯 - 骨网（EDGB）重力理论中黑洞进化的数值研究，其中高斯 - 骨网耦合和标量（DILATON）磁场电势在标量场符号的全球变化下是对称的（'Z2'对称性）。我们发现，对于足够小的高斯 - 骨网耦合，Schwarzschild黑洞与径向标量场的扰动稳定，并且对于足够大的耦合而言，这种扰动不稳定。对于后一种情况，我们提供了数值证据，表明有一条耦合参数和黑洞质量，其中最终状态是稳定的标量黑洞溶液，这与Macedo等人的结果一般一致（2019Phys。V.D 99 104041）。对于高斯河网的耦合比稳定带中的耦合大，我们发现“椭圆形区域”在黑洞地平线之外形成，这表明该理论在该制度中没有宽容的初始值公式。
We report on a numerical investigation of black hole evolution in an Einstein dilaton Gauss-Bonnet (EdGB) gravity theory where the Gauss-Bonnet coupling and scalar (dilaton) field potential are symmetric under a global change in sign of the scalar field (a 'Z2' symmetry). We find that for sufficiently small Gauss-Bonnet couplings Schwarzschild black holes are stable to radial scalar field perturbations, and are unstable to such perturbations for sufficiently large couplings. For the latter case, we provide numerical evidence that there is a band of coupling parameters and black hole masses where the end states are stable scalarized black hole solutions, in general agreement with the results of Macedo et al (2019 Phys. Rev. D 99 104041). For Gauss-Bonnet couplings larger than those in the stable band, we find that an 'elliptic region' forms outside of the black hole horizon, indicating the theory does not possess a well-posed initial value formulation in that regime.
