English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove the possibility of existence of stationary bound states ofstationary bound states of spin-half probe particles for the Kerr andKerr-Newman gravitational fields using Chandrasekhar's Hamiltonian. If theHilbert condition is satisfied, g_{00}>0, bound states of Dirac particles witha real discrete energy spectrum can exist both for particles outside thesurface of the outer ergosphere of the Kerr and Kerr-Newman fields, and forparticles under the surface of the inner ergosphere. In this case, the surfacesof the external and internal ergospheres play the role of infinitely highpotential barriers. Spin-half quantum-mechanical particles cannot cross theergosphere surfaces of the Kerr and Kerr-Newman fields. Based on the results ofthis 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 leadto a revision of some concepts of the standard cosmological model related tothe evolution of the universe and interaction of rotating collapsars withsurrounding matter.

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