Global in time self-interacting Dirac fields in the de Sitter space

Authors

Karen Yagdjian, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

2022

Abstract

In this paper the semilinear equation of the spin-12 fields in the de Sitter space is investigated. We prove the existence of the global in time small data solution in the expanding de Sitter universe. Then, under the Lochak–Majorana condition, we prove the existence of the global in time solution with large data. The sufficient conditions for the solutions to blow up in finite time are given for large data in the expanding and contracting de Sitter spacetimes. The influence of the Hubble constant on the lifespan is estimated.

Comments

Original published version available at https://doi.org/10.1007/s00028-022-00769-8

Recommended Citation

Yagdjian, K. Global in time self-interacting Dirac fields in the de Sitter space. J. Evol. Equ. 22, 22 (2022). https://doi.org/10.1007/s00028-022-00769-8

Publication Title

Journal of Evolution Equations

DOI

10.1007/s00028-022-00769-8