A study of the field equations in the neighborhood of a solitary black hole

EMANUEL GALLO; CARLOS KOZANEH; OSVALDO M. MORESCHI; ALEJANDRO PÉREZ

Varsovia

Congreso; GR20, 20th International Conference on General Relativity; 2013

International Society on General relativity and Gravitation

In this work we present a construction that provides a framework for the study of gravitational collapse of an isolated system in its late stage of evolution.We first define a family of spacetimes representing non-stationary black holes exhibiting remarkable universal properties which are natural generalizations from stationary spacetime. We then give characteristic data on the event horizon and on null infinity together with conditions on gravitational falloff near timelike infinity (i+) and study the smoothness of the solutions to the Einstein equations on the vicinity of i+.