  The behaviour of geometric quantities close to geometric pathologies of a
spacetime is relevant to deduce the physical behaviour of the system. In this
work, we compute the quasi-local mass quantities - the Hawking mass, the
Brown-York mass and the Liu-Yau mass in the maximal extensions of the
spherically symmetric solutions of the Einstein equations inside the black hole
region, at the singularity, the event horizon, and the null infinity, in the
limiting sense of a geometric flow.
