Smooth null hypersurfaces near the horizon in the presence of tails

Carlos N. Kozameh, Osvaldo M. Moreschi, Alejandro Perez
2013 Physical Review D  
We show that the power-law decay modes found in linear perturbations of Schwarzschild black holes, generally called tails, do not produce caustics on a naturally defined family of null surfaces in the neighborhood of i+ of a black hole horizon.
doi:10.1103/physrevd.87.064039 fatcat:a3k36qvv3fewbk756xhij3tt5q