Massless Majorana spinors in the Kerr spacetime

2025/12/10 by Xiao Zhang, Cai, Tianyuan, Zhang, Xiao
Physics and Astronomy · #Cosmology and Gravitation Theories #MAJORANA #Majorana equation #Massless particle #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Spacetime #Spinor

paper · pdf · doi:10.48550/arxiv.2512.09253

openalex publication_date 2025/12/10 · openalex created_date 2025/12/12 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that massive Majorana spinors \eqref1.2 do not exist if they are t-dependent or ϕ-dependent in Kerr, or Kerr-(A)dS spacetimes. For massless Majorana spinors in the non-extreme Kerr spacetime, the Dirac equation can be separated into radial and angular equations, parameterized by two complex constants ε₁, ε₂. If at least one of ε₁, ε₂ is zero, massless Majorana spinors can be solved explicitly. If ε₁, ε₂ are nonzero, we prove the nonexistence of massless time-periodic Majorana spinors in the non-extreme Kerr spacetime which are L^p outside the event horizon for 0

Citations

• Nonexistence of Majorana fermions in Kerr-Newman type spacetimes with nontrivial charge
• Nonexistence of Time-periodic Solutions of the Dirac Equation in Kerr-Newman-(A)dS Spacetime
• An Integral Representation for the Dirac Propagator in the Reissner-Nordström Geometry in Eddington-Finkelstein Coordinates

Related

• Nonexistence of Majorana fermions in Kerr-Newman type spacetimes with nontrivial charge
• Linear and angular momentum spaces for Majorana spinors
• Nonexistence of Time-periodic Solutions of the Dirac Equation in Kerr-Newman-(A)dS Spacetime
• Evidence for Majorana Neutrinos: Dawn of a new era in spacetime structure
• Mass Generation and Related Issues from Exotic Higher Dimensions