2001/05/28 by H. -J. Schmidt
Physics and Astronomy · #gr-qc
published as Astron.Nachr. 306 (1985) 67-70 · 12 pages, LaTeX, no figure
arxiv created 2001/05/28 · arxiv updated 2009/11/30
For 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.