Conformal geodesics in spherically symmetric vacuum spacetimes with cosmological constant
Presenting author: Alfonso García-Parrado
An analysis of conformal geodesics in the Schwarzschild-de Sitter and
Schwarzschild-anti de Sitter families of spacetimes is given. For both
families of spacetimes we show that initial data on a spacelike
hypersurface can be given such that the congruence of conformal
geodesics arising from this data cover the whole maximal extension of
canonical conformal representations of the spacetimes without forming
caustic points. For the Schwarzschild-de Sitter family, the resulting
congruence can be used to obtain global conformal Gaussian systems of
coordinates of the conformal representation. In the case of the
Schwarzschild-anti de Sitter family, the natural parameter of the
curves only covers a restricted time span so that these global
conformal Gaussian systems do not exist.
Work done in collaboration with Edgar Gasperín and Juan A. Valiente Kroon.
Click here to access the slides.