Speaker
Prof.
Isarael Quiros
(Universidad de Guanajuato)
Description
We develop a formalism for generating solutions of conformal gravity theories. It is based on the result that the only static and spherically symmetric vacuum solutions of conformal general relativity are conformal to the Schwarzschild-de Sitter solution. The relevance of the formalism for the understanding of conformal symmetry, along with its physical and geometrical consequences, is discussed in light of two complementary points of view on conformal transformations, understood as either passive or active transformations in an abstract space of fields. We show that there are specific conformal Schwarzschild (vacuum) solutions representing wormhole geometries. The solutions are applied to describe the rotation curves of galaxies.
Author
Prof.
Isarael Quiros
(Universidad de Guanajuato)