论文标题

曲率和动力学空间:我们可以凝视量子状态吗?

Curvature and dynamical spacetimes: can we peer into the quantum regime?

论文作者

Cardoso, Vitor, Hilditch, David, Marouda, Krinio, Natário, José, Sperhake, Ulrich

论文摘要

从引力的角度来看,固定的紧凑型天体物体(例如黑洞和中子星)以经典系统的形式表现为经典系统。它们(可观察的)曲率无处不在。在这里,我们调查了此类对象的合并或其他强烈动态的空间(例如崩溃的配置)是否可以探测一般相对性的强横向状态。我们的结果表明,与固定状态相对于固定状态,动态黑洞的空位始终导致kretschmann标量中的$ \ sim 3 $。我们的结果表明,在标量场的重力塌陷期间,Kretschmann标量可以通过数量级动态增加,并且(归一化的)峰值曲率与关键溶液的峰值不符。然而,如果没有微调初始数据,这种增加就远远低于使量子重大校正重要的所需的增长。

Stationary compact astrophysical objects such as black holes and neutron stars behave as classical systems from the gravitational point of view. Their (observable) curvature is everywhere "small". Here we investigate whether mergers of such objects, or other strongly dynamical spacetimes such as collapsing configurations, may probe the strong-curvature regime of General Relativity. Our results indicate that dynamical black hole spacetimes always result in a modest increase $\sim 3$ in the Kretschmann scalar, relative to the stationary state. Our results show that the Kretschmann scalar can dynamically increase by orders of magnitude, during the gravitational collapse of scalar fields, and that the (normalized) peak curvature does not correspond to that of the critical solution. Nevertheless, without fine tuning of initial data, this increase lies far below that needed to render quantum-gravity corrections important.

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