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arXiv 0912.5481hep-th
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高能碰撞中黑洞/虫洞形成的催化作用

Catalysis of Black Holes/Wormholes Formation in High Energy Collisions

I. Ya. Aref'eva

摘要:

讨论了粒子碰撞中黑洞/虫洞(BH/WH)形成的各种催化机制。目前的范式表明,BH/WH形成粒子碰撞时,碰撞粒子的质心能量是足够的普朗克尺度以上(transplanckian区域)。为了估计BH/WH的产生,我们使用经典的几何截面。通过重新考虑两个transplanck粒子在其中一个入射粒子的静止坐标系中碰撞的过程,我们确定了BH产生的经典几何截面。这种考虑允许使用标准的索恩箍猜想的问题压缩到一个区域来证明一个变体的猜想处理的总金额的压缩能量的情况下碰撞粒子。我们计算了不同过程和不同背景下的几何截面,特别是(A)dS。我们表明,结果是在协议与封闭的捕获面(CTS)的估计,虽然没有一般定理提供BH形成如下CTS的形成。我们发现,BH形成的过程是由负的宇宙学常数和一个特定的标量物质,即介子催化,而它是由正的宇宙学常数放松,并在临界值刚刚关闭。我们还注意到,该截面对额外维的紧化和特殊的膜模型是敏感的。

英文摘要:

We discuss various mechanisms of catalysis of black holes/wormholes (BH/WH) formation in particles collisions. The current paradigm suggests that BH/WH formation in particles collisions will happen when center of mass energies of colliding particles is sufficiently above the Planck scale (the transplanckian region). To estimate the BH/WH production we use the classical geometrical cross section. We confirm the classical geometrical cross section of the BH production reconsidering the process of two transplanckian particles collision in the rest frame of one of incident particles. This consideration permits to use the standard Thorne's hoop conjecture for a matter compressed into a region to prove a variant of the conjecture dealing with a total amount of compressed energy in the case of colliding particles. We calculate geometrical cross sections for different processes and for different background, in particular, for (A)dS. We show that results are in agreement with closed trapped surface (CTS) estimations though there are no general theorems providing that the BH formation follows from CTS's formation. We show that the process of BH formation is catalyzed by the negative cosmological constant and by a particular scalar matter, namely dilaton, while it is relaxed by the positive cosmological constant and at a critical value just turns off. Also we note that the cross section is sensible to the compactification of extra dimensions and to the particular brane model.

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