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arXiv 1303.1127gr-qc
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Kerr和Kerr-Newman引力场中自旋半粒子的定态束缚态

Stationary bound states of spin-half particles in the Kerr and Kerr-Newman gravitational fields

M. V. Gorbatenko, V. P. Neznamov

摘要:

利用钱德拉塞卡的Hamilton量证明了克尔和克尔-纽曼引力场中自旋半探测粒子的定态束缚态存在的可能性。如果满足Hilbert条件,g_{00} >0,则具有实离散能谱的Dirac粒子的束缚态可以存在于Kerr场和Kerr-Newman场的外能层表面之外的粒子和内能层表面之下的粒子中。在这种情况下,外部和内部能层的表面扮演着无限高势垒的角色。自旋半量子力学粒子不能穿过克尔场和克尔-纽曼场的能层表面。基于这些结果,我们可以假设存在一种新的旋转类星体,这种星体不存在霍金辐射。这项研究的结果可能导致修订的一些概念的标准宇宙学模型有关的宇宙的演化和相互作用的旋转天体与周围的物质。

英文摘要:

We prove the possibility of existence of stationary bound states of stationary bound states of spin-half probe particles for the Kerr and Kerr-Newman gravitational fields using Chandrasekhar's Hamiltonian. If the Hilbert condition is satisfied, g_{00}>0, bound states of Dirac particles with a real discrete energy spectrum can exist both for particles outside the surface of the outer ergosphere of the Kerr and Kerr-Newman fields, and for particles under the surface of the inner ergosphere. In this case, the surfaces of the external and internal ergospheres play the role of infinitely high potential barriers. Spin-half quantum-mechanical particles cannot cross the ergosphere surfaces of the Kerr and Kerr-Newman fields. Based on the results of this study, we can assume that there exists a new type of rotating collapsars, for which the Hawking radiation is absent. The results of this study can lead to a revision of some concepts of the standard cosmological model related to the evolution of the universe and interaction of rotating collapsars with surrounding matter.

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