2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33909For field equations of 4th order, following from a Lagrangian `Ricci scalar plus Weyl scalar', it is shown (using methods of non-standard analysis) that in a neighbourhood of Minkowski space there do not exist regular static spherically symmetric solutions. With that (besides the known local expansions about r = 0 and r = infinity resp.) for the first time a global statement on the existence of such solutions is given. Finally, this result will be discussed in connection with Einstein's particle programme.12 pages, LaTeX, no figureGeneral Relativity and Quantum Cosmologytext