Infinite-redshift localized states of Dirac fermions under Einsteinian gravity
Abstract
We present a set of localized states for an even number of Dirac fermions under Einsteinian gravity that have an infinite central redshift. Near the center of the localized state the components of the Dirac spinor and the spacetime metric all show simple power-law dependences on the radial distance; further out the fermionic wave function decays to zero and the spacetime becomes asymptotically flat. We show that this "central"solution of the equations of motion can be used to understand much of the structure observed by Finster, Smoller, and Yau [Phys. Rev. D 59, 104020 (1999)] in their numerical solutions of the same problem at finite central redshift.
Citation
Bakucz Canário , D , Lloyd , S , Horne , K & Hooley , C A 2020 , ' Infinite-redshift localized states of Dirac fermions under Einsteinian gravity ' , Physical Review D , vol. 102 , no. 8 , 084049 . https://doi.org/10.1103/PhysRevD.102.084049
Publication
Physical Review D
Status
Peer reviewed
ISSN
2470-0010Type
Journal article
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