Black holes in contrast to expanding universe
Note that this is in contrast to cosmological metrics where all 3 space dimensions get stretched isotropically by the scale factor a(t) e.g. for K = 0 inflation zero space curvature
ds^2 = - dt^2 + a(t)^2[dr^2 + r^2(d@^2 + sin^2@d&^2)]
where the Hubble parameter is
H(t) = a(t)^-1da(t)/dt
In contrast in the spherical non-rotating collapse to the future spacelike singularity a pure NON-MATERIAL consciousness going along for the ride sees 3D space swallowed into an effective string as the infinite curvature r ---> 0 singularity is inexorably approached.