Journal of Mathematical Physics, Volume 62, Issue 5, May 2021. We study symmetry properties and the possibility of exact integration of Klein–Gordon equations in external electromagnetic fields on 3D de Sitter background dS3. We present an algorithm for constructing the first-order symmetry algebra and describe its structure in terms of Lie algebra extensions. Based on the well-known classification of the subalgebras of the algebra [math], we classify all electromagnetic fields on dS3 for which the corresponding Klein–Gordon equations admit first-order symmetry algebras. Then, we select the integrable cases, and for each of them, we construct exact solutions using the noncommutative integration method developed by Shapovalov and Shirokov [Theor. Math. Phys. 104, 921–934 (1995)]. We also propose an original algebraic method for constructing the special local coordinates on de Sitter space dS3, in which basis vector fields for subalgebras of the Lie algebra [math] have the simplest form.

## Authors

## Departments

## Libraries

## Recent Articles

- Modeling of dusty gas flows due to plume impingement on a lunar surface
- Robust and unstable axisymmetric vortices, including neutral vortices, of a new two-dimensional vortex family
- Origins of nanoscale emission inhomogeneities of high content red emitting InGaN/InGaN quantum wells
- Schottky barrier heights of defect-free metal/ZnO, CdO, MgO, and SrO interfaces
- Broadband angular color stability of dielectric thin film-coated pyramidal textured Si for photovoltaics
- Functionalization of graphene by boronic acid-based organic molecules
- Fusion yield of plasma with velocity-space anisotropy at constant energy
- Self-absorption of synchrotron radiation in a laser-irradiated plasma
- Observation of fully detached divertor integrated with improved core confinement for tokamak fusion plasmas
- Erratum: “Thermal performance of GaInSb quantum well lasers for silicon photonics applications” [Appl. Phys. Lett. 118, 101105 (2021)]
- Phonon-mediated crystal detectors with metallic film coating capable of rejecting α and β events induced by surface radioactivity
- In-plane anisotropic Raman response of layered In2Te5 semiconductor
- A large and anisotropic enhancement of the mechanical quality factor in ternary relaxor-PbTiO3 single crystals
- Time evolution of vortex rings with large radius and very concentrated vorticity
- Exact solutions of Klein–Gordon equations in external electromagnetic fields on 3D de Sitter background
- Double field theory algebroid and curved L∞-algebras
- Some Neumann-Bessel series and the Laplacian on polygons
- Frontiers of stochastic electronic structure calculations
- Ab initio random structure searching for battery cathode materials
- Direct comparison of amplitude and geometric measures of spectral inhomogeneity using phase-cycled 2D-IR spectroscopy