Infinite-redshift localized states of Dirac fermions under Einsteinian gravity

Daniel Bakucz Canário, Sam Lloyd, Keith Horne, Chris A. Hooley

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
1 Downloads (Pure)


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.

Original languageEnglish
Article number084049
Number of pages14
JournalPhysical Review D
Issue number8
Publication statusPublished - 21 Oct 2020


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