The marginally trapped surfaces in spheroidal spacetimes

Abstract

We study the location of marginally trapped surfaces in space-times resulting from an axial deformation of static isotropic systems, and show that the Misner-Sharp mass evaluated on the corresponding undeformed spherically symmetric space provides the correct gravitational radius to locate the spheroidal horizon.

16 pages in REVTeX format, 1 figure, with streamlined calculation of expansion scalars. Title changed. arXiv admin note: text overlap with arXiv:1801.05621