Nonexistence of Time-periodic Solutions of the Dirac Equation in Kerr-Newman-(A)dS Spacetime

2024/04/20 by Fan, Mengzhang, Wang, Yaohua, Zhang, Xiao · 1 citation
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2404.13255

Abstract

In this paper, we study the nonexistence of nontrivial time-periodic solutions of the Dirac equation in Kerr-Newman-(A)dS spacetime. In the non-extreme Kerr-Newman-dS spacetime, we prove that there is no nontrivial L^p integrable Dirac particle for arbitrary (λ,p)∈ ℝ×[2,+∞). In the extreme Kerr-Newman-dS and extreme Kerr-Newman-AdS spacetime, we show the equation relations between the energy eigenvalue ω, the horizon radius, the angular momentum, the electric charge and the cosmological constant if there exists nontrivial L^p integrable time-periodic solution of the Dirac equation, and further give the necessary conditions for the existence of nontrivial solutions.

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• Massless Majorana spinors in the Kerr spacetime

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