2013/02/18 by E. Yu. Petrov, A. V. Kudrin, Alexander V. Kudrin
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Action (physics) #Born–Infeld model #Circular symmetry #Classical mechanics #Constant (computer programming) #Electromagnetic field #Exact solutions in general relativity #Geometry #High-pressure geophysics and materials #Laser-Plasma Interactions and Diagnostics #Mathematical physics #Mathematics #Minkowski space #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Symmetry (geometry) #hep-th #physics.class-ph
paper · pdf · doi:10.1103/physrevd.87.087703
5 pages, 4 figures
arxiv created 2013/02/18 · openalex publication_date 2013/04/26 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a new class of exact self-similar solutions possessing cylindrical or spherical symmetry in Born--Infeld theory. A cylindrically symmetric solution describes the propagation of a cylindrical electromagnetic disturbance in a constant background magnetic field in Born--Infeld electrodynamics. We show that this solution corresponds to vacuum breakdown and the subsequent propagation of an electron-positron avalanche. The proposed method of finding exact analytical solutions can be generalized to the model of a spherically symmetric scalar Born--Infeld field in the (n+1)-dimensional Minkowski space-time. As an example, the case n=3 is discussed.