The self-interacting Dirac fields in FLRW spacetime

DOI10.1007/s00030-022-00786-zzbMath1496.35336arXiv2112.13945OpenAlexW4287219327MaRDI QIDQ2164021

Anahit Galstian, Karen Yagdjian

Publication date: 12 August 2022

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13945

zbMATH Keywords

global solutionFLRW spacetimeLochak-Majorana conditionsemilinear Dirac equation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for first-order hyperbolic systems (35L45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Integral transform approach to generalized Tricomi equations
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Lectures on nonlinear hyperbolic differential equations
• On the Majorana condition for nonlinear Dirac systems
• On the cubic Dirac equation with potential and the Lochak-Majorana condition
• Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation
• Partial differential equations. 2: Qualitative studies of linear equations
• Endpoint estimates and global existence for the nonlinear Dirac equation with potential
• Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation
• Blow-up results for semilinear damped wave equations in Einstein-de Sitter spacetime
• Global in time self-interacting Dirac fields in the de Sitter space
• Exact solutions of Dirac equation on a static curved space-time
• Solution of the Dirac equation in expanding universes
• Quantum Field Theory in Curved Spacetime
• Blow up of solutions of semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime
• Finite lifespan of solutions of the semilinear wave equation in the Einstein–de Sitter spacetime
• Einstein's General Theory of Relativity
• Huygens’ principle for the generalized Dirac operator in curved spacetime
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