On static spherically symmetric solutions of the Bach-Einstein gravitational field equations
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0105107,
title = {On static spherically symmetric solutions of the Bach-Einstein gravitational field equations},
author = {H. -J. Schmidt},
journal= {arXiv preprint arXiv:gr-qc/0105107},
year = {2007}
}
Comments
12 pages, LaTeX, no figure