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arXiv 1407.0877gr-qcastro-ph.HE
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作为粒子加速器的荷电膨胀黑洞

Charged Dilation Black Holes as Particle Accelerators

Parthapratim Pradhan

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Accepted for Publication in Astroparticle Physics, September-2014
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摘要：

研究了在带电膨胀黑洞视界附近中性粒子碰撞的质心系中任意高能量的可能性。我们证明了在膨胀黑洞的背景下，不需要对角动量参数进行微调就可以获得无穷大的能量。结果表明，在极端膨胀BH的无限红移面附近粒子碰撞的CM能量$({\cal E}_{cm})$是任意大的，而非极端带电膨胀BH的能量是有限的.我们还比较了极端Reissner-Nordstrøm（RN）BH和Schwarzschild BH的视界${\cal E}_{cm}$与ISCO（最内稳定圆轨道）和MBCO（边缘束缚圆轨道）。我们发现，对于极端RN BH的不等式成为${\cal E}_{cm}\mid_{r_{+}}>{\cal E}_{cm}\mid_{r_{mb}}> {\cal E}_{cm}\mid_{r_{ISCO}}$，即${\cal E}_{cm}\mid_{r_{+}=M}: {\cal E}_{cm}\mid_{r_{mb}=\left(\frac{3+\sqrt{5}}{2}\right)M} : {\cal E}_{cm}\mid_{r_{ISCO}=4M} =\infty : 3.23 : 2.6 $。而Schwarzschild BH的CM能量比为${\cal E}_{cm}\mid_{r_{+}=2M}: {\cal E}_{cm}\mid_{r_{mb}=4M} : {\cal E}_{cm}\mid_{r_{ISCO}=6M} = \sqrt{5} : \sqrt{2} : \frac{\sqrt{13}}{3}$。同样对于Gibbons-Maeda-Garfinkle-Horowitz-Strominger（GMGHS）BH，该比率为${\cal E}_{cm}\mid_{r_{+}=2M}: {\cal E}_{cm}\mid_{r_{mb}=2M} : {\cal E}_{cm}\mid_{r_{ISCO}=2M} =\infty : \infty : \infty$。

英文摘要：

We examine the possibility of arbitrarily high energy in the Center-of-mass(CM) frame of colliding neutral particles in the vicinity of the horizon of a charged dilation black hole(BH). We show that it is possible to achieve the infinite energy in the background of the dilation black hole without fine-tuning of the angular momentum parameter. It is found that the CM energy $({\cal E}_{cm})$ of collisions of particles near the infinite red-shift surface of the extreme dilation BHs are arbitrarily large while the non-extreme charged dilation BHs have the finite energy. We have also compared the ${\cal E}_{cm}$ at the horizon with the ISCO(Innermost Stable Circular Orbit) and MBCO (Marginally Bound Circular Orbit) for extremal Reissner-Nordstrøm(RN) BH and Schwarzschild BH. We find that for extreme RN BH the inequality becomes ${\cal E}_{cm}\mid_{r_{+}}>{\cal E}_{cm}\mid_{r_{mb}}> {\cal E}_{cm}\mid_{r_{ISCO}}$ i.e. ${\cal E}_{cm}\mid_{r_{+}=M}: {\cal E}_{cm}\mid_{r_{mb}=\left(\frac{3+\sqrt{5}}{2}\right)M} : {\cal E}_{cm}\mid_{r_{ISCO}=4M} =\infty : 3.23 : 2.6 $. While for Schwarzschild BH the ratio of CM energy is ${\cal E}_{cm}\mid_{r_{+}=2M}: {\cal E}_{cm}\mid_{r_{mb}=4M} : {\cal E}_{cm}\mid_{r_{ISCO}=6M} = \sqrt{5} : \sqrt{2} : \frac{\sqrt{13}}{3}$. Also for Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) BHs, the ratio is being ${\cal E}_{cm}\mid_{r_{+}=2M}: {\cal E}_{cm}\mid_{r_{mb}=2M} : {\cal E}_{cm}\mid_{r_{ISCO}=2M} =\infty : \infty : \infty$.

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