On the critical behaviour of gapped gravitational collapse in confined spacetime

Abstract

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 $M_{AH}-M_g\propto ({\epsilon }_c-\epsilon {)}^{\xi }$ is confirmed and a new time scaling for the gapped collapse $T_{AH}-T_g\propto ({\epsilon }_c-\epsilon {)}^{\zeta }$ is found. 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. Especially, we find an evolution of the critical exponent $\xi$ from $0.37$ in the confined asymptotic dS case with $\Lambda R^2=1.5$ to $0.7$ in asymptotic AdS case ($\Lambda R^2\to -\infty$), while the critical exponent $\zeta$ varies from $0.10$ to $0.26$, which shows the new critical behavior for the gapped collapse is essentially different from the one in the Choptuik's case.

7 pages, 7 figures

References in corpus (2)

• Instability of Flat Space Enclosed in a Cavity
• Moving Closer to the Collapse of a Massless Scalar Field in Spherically Symmetric Anti-de Sitter Spacetimes

Cited by in corpus (4)

• Scalar field collapse in Gauss-Bonnet gravity
• Holographic entanglement entropies for Schwarzschild and Reisner-Nordström black holes in asymptotically Minkowski spacetimes
• Electromagnetic effect on anisotropic scalar field collapse in higher curvature gravity
• Energy transfer in the collision of two scalar wave packets in spherical symmetry