Edivaldo Amaral Gonçalves

Exactly one unstable mode: a computer-assisted spectral count for Choptuik's critical spacetime under spherically symmetric perturbations

Choptuik's spacetime, the discretely self-similar solution at the threshold of black hole formation in the collapse of a massless scalar field, is expected to have exactly one unstable mode, whose growth rate λ determines the critical exponent γ = 1/λ ≈ 0.374. The existence of th...