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arXiv 1301.2801gr-qcastro-ph.HEhep-th
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加速视界对粒子的加速

Acceleration of particles by acceleration horizons

O. B. Zaslavskii

摘要:

我们考虑两个粒子在极端加速视界(带电或旋转)附近的碰撞,该视界包括Bertotti-Robinson时空和Kerr喉的几何。研究表明,如果对其中一个粒子的参数进行微调,质心系E_{c.m.}中的能量可以变得无限大,从而表现出巴尼亚多斯-西尔克-韦斯特(BSW)效应。存在坐标变换,它使度规成为无视界的形式。这导致了一些悖论,因为(i)BSW效应由于视界而存在,(ii)E_{c.m.}是标量并且不能依赖于框架。仔细比较两种框架中的近地平线轨迹,使我们能够解决这个悖论。虽然加速度视界度规和黑洞的时空结构在全局上是完全不同的,但在局部上,极值黑洞视界附近可以用加速度视界度规来近似.从克鲁斯卡尔观测者的角度来看,一个粒子的能量(或通过有限局部增强从它获得的能量)发散,尽管在静止坐标系中两个碰撞粒子的能量是有限的。这表明了一个新的解释的BSW效应的黑洞给出的观点,观察者谁跨越视界。它是对先前从静态或静止观察者的观点找到的解释的补充。

英文摘要:

We consider collision of two particles in the vicinity of the extremal acceleration horizon (charged or rotating) that includes the Bertotti-Robinson space-time and the geometry of the Kerr throat. It is shown that the energy in the centre of mass frame E_{c.m.} can become indefinitely large if parameters of one of the particles are fine-tuned, so the Bañados-Silk-West (BSW) effect manifests itself. There exists coordinate transformation which brings the metric into the form free of the horizon. This leads to some paradox since (i) the BSW effect exists due to the horizon, (ii) E_{c.m.} is a scalar and cannot depend on the frame. Careful comparison of near-horizon trajectories in both frames enables us to resolve this paradox. Although globally the space-time structure of the metrics with acceleration horizons and black holes are completely different, locally the vicinity of the extremal black hole horizon can be approximated by the metric of the acceleration one. The energy of one particle from the viewpoint of the Kruskal observer (or the one obtained from it by finite local boost) diverges although in the stationary frame energies of both colliding particles are finite. This suggests a new explanation of the BSW effect for black holes given from the viewpoint of an observer who crosses the horizon. It is complementary to the previously found explanation from the point of view of a static or stationary observer.

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