Generalizations of Schwarzschild and (Anti) de Sitter Metrics in Clifford Spaces

摘要

After a very brief introduction to generalized gravity in Clifford spaces (C-spaces), generalized metric solutions to the C-space gravitational field equations are found, and inspired from the (Anti) de Sitter metric solutions to Einstein's field equations with a cosmological constant in ordinary spacetimes. C-space analogs of static spherically symmetric metrics solutions are constructed. Concluding remarks are devoted to a thorough discussion about Areal metrics, Kawaguchi-Finsler Geometry, Strings, and plausible novel physical implications of C-space Relativity theory.