论文标题
在Kerr-de Sitter Spacetime上为真实标量场的Unruh状态构建
Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
论文作者
论文摘要
黑洞空位中Quatum田的物理影响的研究与诸如强宇宙审查猜想的有效性等问题有关，这需要Hadamard状态描述物理状况。在这里，我们考虑了Kerr-De保姆时空上的自由标量场的理论，重点是黑洞的足够小角动量和足够小的宇宙学常数的空间。我们证明，可以在这种Kerr-DE Sitter的空间上为自由标量场构建的unuh状态的扩展，该状态描述了球形对称的引力崩溃的预期延迟行为。此外，我们表明，Unruh状态的这种扩展是黑洞外部和黑洞内部到内部地平线的Hadamard状态。这为旋转黑洞空位研究的自由标量磁场提供了一个有力动机的哈达姆状态。
The study of physical effects of quatum fields in black hole spacetimes, which is related to questions such as the validity of the strong cosmic censorship conjecture, requires a Hadamard state describing the physical situation. Here, we consider the theory of a free scalar field on a Kerr-de Sitter spacetime, focussing on spacetimes with sufficiently small angular momentum of the black hole and sufficiently small cosmological constant. We demonstrate that an extension of the Unruh state, which describes the expected late-time behaviour in spherically symmetric gravitational collapse, can be rigorously constructed for the free scalar field on such Kerr-de Sitter spacetimes. In addition, we show that this extension of the Unruh state is a Hadamard state in the black hole exterior and in the black hole interior up to the inner horizon. This provides a physically motivated Hadamard state for the study of free scalar fields in rotating black hole spacetimes.
