Singular hypersurfaces and thin shells in general relativity

The semi-analytic arguments based on the Israel thin-wall formalism could only apply to a very small and artificial region of parameter space within a quantum gravity corrected Higgs potential.

“However, the semi-analytic arguments we used (based on the Israel”

One may replace the brane action with a non-minimally coupled dilaton theory, e.g., Jackiw-Teitelboim (JT) gravity.

“For example, one may replace the brane action (3.11) with a non-minimally coupled dilaton theory, e.g., Jackiw-Teitelboim (JT) grav-ity [78,79], as done in [53].”

Taking the bulk to be AdS d+1 with an AdS d Dvali-Gabadadze-Porrati (DGP) brane, the entropy of the boundary CFT vacuum reduced to a boundary region A is given by S vN (A) = min γ ext γ Area(γ) 4G d+1 + Area(γ ∩ brane) 4G d .

“Taking the bulk to be AdS d+1 with an AdS d Dvali-Gabadadze-Porrati (DGP) brane [261] (where the brane action includes, e.g., its own Einstein-Hilbert term), the entropy of the boundary CFT vacuum reduced to a boundary region A is given by [53]”

The argument of [53,260] requires DGP couplings be turned on, couplings which can affect the growth rate of entanglement entropy of subregions of the dual CFT.

“The argument of[53,260] requires DGP couplings be turned on, couplings which can affect the growth rate of entanglement entropy of subregions of the dual CFT[263].”

In the context of topological black holes on the brane, the bulk is d+1-dimensional AdS-Rindler, for which the Rindler horizon induces a Rindler horizon on the brane.

“Alternatively, one can study topological black holes on the brane, e.g.,[53,65].In this context, the bulk is d + 1-dimensional AdS-Rindler, for which the Rindler horizon induces a Rindler horizon on the brane.”