论文标题
Einstein-Dilaton-Dilaton-Gauss-Bonnet重力中的非扰动Gedanken实验:超出一般相对性的宇宙审查的非线性过渡和测试
Nonperturbative gedanken experiments in Einstein-dilaton-Gauss-Bonnet gravity: nonlinear transitions and tests of the cosmic censorship beyond General Relativity
论文作者
论文摘要
作为具有二次曲率术语和二阶场方程的唯一重力理论,爱因斯坦 - 迪拉塔顿 - 高斯 - 尼特重力是一种天然测试床,以完全非驾驶方式探测一般相对性超出一般相对性的高侵性状态。由于扩张耦合的非扰动作用,该理论中的黑洞具有最小的质量,可以将稳定的分支与不稳定的分支分开。最小质量解是理论相图中的双点,其中临界黑洞和虫洞溶液共存。我们对球形塌陷进行了广泛的非线性模拟,在该理论中,带有标量头发的黑洞,尤其是针对最小质量附近的区域。我们研究了从不稳定到稳定分支的非线性过渡,并评估后者的非线性稳定性。此外,通过对经典水平最小质量附近的鹰辐射引起的质量损失进行建模,我们研究了幻影场对黑洞的崩溃。当黑洞质量降低到临界值之外时,明显的地平线会显着缩小,最终揭示了一个高阳光的椭圆形区域。我们认为,该理论中的蒸发必然会违反弱宇宙审查制度或产生无水平的残余物。解决末端国家可能需要不同的进化方案。
As the only gravity theory with quadratic curvature terms and second-order field equations, Einstein-dilaton-Gauss-Bonnet gravity is a natural testbed to probe the high-curvature regime beyond General Relativity in a fully nonperturbative way. Due to nonperturbative effects of the dilatonic coupling, black holes in this theory have a minimum mass which separates a stable branch from an unstable one. The minimum mass solution is a double point in the phase diagram of the theory, wherein the critical black hole and a wormhole solution coexist. We perform extensive nonlinear simulations of the spherical collapse onto black holes with scalar hair in this theory, especially focusing on the region near the minimum mass. We study the nonlinear transition from the unstable to the stable branch and assess the nonlinear stability of the latter. Furthermore, motivated by modeling the mass loss induced by Hawking radiation near the minimum mass at the classical level, we study the collapse of a phantom field onto the black hole. When the black-hole mass decreases past the critical value, the apparent horizon shrinks significantly, eventually unveiling a high-curvature elliptic region. We argue that evaporation in this theory is bound to either violate the weak cosmic censorship or produce horizonless remnants. Addressing the end-state might require a different evolution scheme.