论文标题

经典黑洞时空中粒子固定状态的量子力学

Quantum mechanics of stationary states of particles in a space-time of classical black holes

论文作者

Gorbatenko, M. V., Neznamov, V. P.

论文摘要

我们考虑Schwarzschild,Reissner-Nordström,Kerr和Kerr-Newman引力和电磁场中的标量颗粒,光子和费米子的相互作用,具有零且非零的宇宙学常数。我们还考虑了标量颗粒,光子和费米子与最少五维仪表超重力的非旋转电荷的黑洞的相互作用。我们分析了二阶相对论schrödinger-type方程中有效电位的行为。在所有情况下,我们都建立了粒子状态在事件范围内的存在。替代方案可以是在固定结合状态下具有费米子的折叠术,而没有“掉落”的颗粒状态。

We consider interactions of scalar particles, photons, and fermions in Schwarzschild, Reissner-Nordström, Kerr, and Kerr-Newman gravitational and electromagnetic fields with a zero and nonzero cosmological constant. We also consider interactions of scalar particles, photons, and fermions with nonextremal rotating charged black holes in a minimal five-dimensional gauge supergravity. We analyze the behavior of effective potentials in second-order relativistic Schrödinger-type equations. In all cases, we establish the existence of the regime of particle "falling" on event horizons. An alternative can be collapsars with fermions in stationary bound states without a regime of particles "falling".

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