2017/11/09 by João Paulo M. Pitelli, J. P. M. Pitelli, Vitor S. Barroso +2 · 5 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Magnetic monopole #Mathematical analysis #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scattering #Scattering cross-section #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.96.105021
published in Physical review. D/Physical review. D. 96(10) (American Physical Society) · 6 pages, 1 figure. To appear in Phys Rev D
arxiv created 2017/11/09 · openalex publication_date 2017/11/27 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the scattering of scalar waves propagating on the global monopole background. Since the scalar wave operator in this topological defect is not essentially self-adjoint, its solutions are not uniquely determined until a boundary condition at the origin is specified. As we show, this boundary condition manifests itself in the differential cross section and can be inferred by measuring the amplitude of the backscattered wave. We further demonstrate that whether or not the spacetime is stable under scalar perturbations also depends on the chosen boundary condition. In particular, we identify a class of such boundary conditions that significantly affects the differential cross section without introducing an instability.