1999/08/17 by Vladimir Dzhunushaliev, V. Dzhunushaliev, Hans‐Jürgen Schmidt +1 · 1 voice
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1063/1.533287
published as J.Math.Phys. 41 (2000) 3007-3015 · 15 pages, LaTeX, no figures, submitted to J. Math. Phys
arxiv created 1999/08/17 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Bach equation, i.e., the vacuum field equation following from the Lagrangian L=CijklCijkl, will be completely solved for the case that the metric is conformally related to the Cartesian product of two two-spaces; this covers the spherically and the plane symmetric space–times as special subcases. Contrary to other approaches, we make a covariant 2+2-decomposition of the field equation, and so we are able to apply results from two-dimensional gravity. Finally, some cosmological solutions will be presented and discussed.