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Quantum mechanics of stationary states of particles in a space–time of classical black holes
Theoretical and Mathematical Physics ( IF 1 ) Pub Date : 2020-11-01 , DOI: 10.1134/s0040577920110070
M. V. Gorbatenko , V. P. Neznamov

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”.

中文翻译:

经典黑洞时空粒子静止状态的量子力学

我们考虑 Schwarzschild、Reissner-Nordström、Kerr 和 Kerr-Newman 引力场和电磁场中标量粒子、光子和费米子的相互作用,其中宇宙常数为零和非零。我们还考虑了标量粒子、光子和费米子与非极值旋转带电黑洞在最小五维超引力中的相互作用。我们分析了二阶相对论薛定谔型方程中有效势的行为。在所有情况下,我们都在事件视界上建立了粒子“下落”状态的存在。另一种选择是具有固定束缚态的费米子的塌陷星,而没有粒子“下落”的状态。
更新日期:2020-11-01
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