The gravitational collapse of a massless scalar field enclosed with a perfectly reflecting wall in a spacetime with a cosmological constant Lambda is investigated. The mass scaling for the gapped collapse M-AH - M-g proportional to (epsilon(c)- epsilon)(xi) is confirmed and a new time scaling for the gapped collapse T-AH - T-g proportional to (epsilon(c)- epsilon)(xi) is found. For both the critical exponents, we find strong evidence to show that they are non-universal. Especially when A 0, we find that both of these two critical exponents depend on the combination Lambda R-2, where R is the radial position of the reflecting wall. We find an evolution of the critical exponent xi from 0.37 in the confined asymptotic dS case with Lambda R-2 = 1.75 to 0.68 in the confined asymptotic AdS case with Lambda R-2 =-1.75, while the critical exponent varies zeta from 0.10 to 0.26, which shows that the new critical behavior for the gapped collapse is essentially different from the Choptuik's case.
Cai, RG,Ji, LW,Yang, RQ. On the Critical Behavior of Gapped Gravitational Collapse in Confined Spacetime[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2017,68(1):67-75.
