Conferencia: Type D conformal initial data

13 febrero 2019: Sala Seminario de Análisis, 18:00-19:00

Conferenciante: Alfonso García-Parrado (Institute of Theoretical Physics, Charles University in Prague)

Título: Type D conformal initial data

Resumen: For a vacuum initial data set of the Einstein field equations it is possible to carry out a conformal rescaling or conformal compactification of the data giving rise to an initial data set for the Friedrich vacuum conformal equations. When will the data development with respect to the conformal equations of this set be a conformal extension of a type D solution? In this work we provide an answer to this question. The answer is a set of necessary and sufficient conditions on a set of initial data of the conformal equations that guarantees that its data development is conformal to a vacuum type D solution of the Einstein's equations. We particularize our construction to the case of the Kerr solution, thus finding a set of necessary and sufficient conditions for the data of the conformal equations such that its development is conformal to the Kerr solution.