Extended Data Fig. 2: Proper brane trajectory r(λ).
Results for four spatial dimensions (d = 4), where we chose the AdS length to be LAdS = 1. a, Brane radius r(λ) as a function of the brane proper time λ for a subcritical brane of tension T = 0.89. During its trajectory, the brane radius expands to a maximum value r0 larger than the black hole outer horizon r+ = 100, and shrinks to a minimum value \({r}_{0}^{-}\) smaller than the black hole inner horizon r− = 91. b, For larger values of the brane tension (T = 0.99999 ~ Tcrit = 1/LAdS = 1) and a near-extremal black hole (r+ = 100, r− = 99.9), the maximum radius of the brane r0 is larger, and the inversion at the minimum radius \({r}_{0}^{-}\) becomes sharper. In both cases the brane trajectory resembles the one qualitatively described in Fig. 1 of the main paper.
