论文标题
Kerr黑洞和彩虹重力中的白洞的超级Penrose过程
Super Penrose Process for Kerr Black Hole And White Hole in Rainbow Gravity
论文作者
论文摘要
最近，O.B.Zaslavskii认为极端Kerr黑洞的地平线附近的碰撞产生了两个颗粒，而两个颗粒之一具有不同的保守杀伤能量（所谓的超级彭罗斯过程）。 O.B.Zaslavskii表明该粒子无法在该宇宙中的渐近区域移动。这意味着无法实现极端Kerr黑洞的超级Penrose过程。然而，最近，普兰达·帕蒂尔（Mandar Patil）和田纳拉（Tomohiro Harada）表明，这种粒子可以进入事件地平线，转弯并通过白洞事件地平线出现，进入其他宇宙中的渐近区域。这意味着可以实现极端Kerr白洞的超级Penrose过程。在此过程中，他们假设这种高能量粒子的轨迹在Kerr背景下是大地的。但是，根据彩虹重力，无限的能量粒子将改变时空背景，并观察到不同的有效时空几何形状。此外，该粒子的角动量略低于粒子可以进入黑洞的最大值。因此，当人们考虑彩虹重力时，这个无界能量的粒子可能不会进入黑洞。在本文中，我们将考虑彩虹重力的效果。我们将显示一些彩虹功能，有关键的能量。如果粒子的能量大于它，则粒子将不会进入黑洞并向后转。这意味着在某些彩虹重力中，极端kerr白洞的超级彭罗斯过程变得不可能。由于这种高能量粒子向后转弯，因此极端Kerr黑洞的超级Penrose过程成为可能。因此，我们看到Kerr黑洞或白洞超级Penrose过程的可能性取决于彩虹重力。
Recently, O.B.Zaslavskii considers the collision near the horizon of the extremal Kerr black hole that produces two particles and one of two particles has divergent conserved killing energy(the so called super Penrose process). O.B.Zaslavskii shows this particle can not move in a asymptotic region in this universe. This means super Penrose process for extremal Kerr black hole is impossible. However, recently, Mandar Patil and Tomohiro Harada show this particle can enter event horizon, turns back and emerges through white hole event horizon into asymptotic region in other universe. This means super Penrose process for extremal Kerr white hole is possible. During this progress, they assume this high energy particle's trajectory is geodesic in Kerr background. However, according to rainbow gravity, an unbounded energy particle will change the spacetime background and observe different effective space-time geometries. Furthermore, this particle's angular momentum is slightly less than the max value which particle can enter black hole. Therefore, when one considers rainbow gravity, this particle with unbounded energy may not enter black hole. In this paper, we will consider rainbow gravity's effect. We will show for some rainbow functions, there is a critical energy. If particle's energy is greater than it, particle will not enter black hole and turn back. It means super Penrose process for extremal Kerr white hole becomes impossible in some rainbow gravity. Because of this high energy particle turning back, the super Penrose process for extremal Kerr black hole becomes possible. Therefore, we see the possibility of super Penrose process for Kerr black hole or white hole depends on rainbow gravity.
