1201.6384 (Sveta Golod et al.)

Choptuik's Critical Phenomenon in Einstein-Gauss-Bonnet Gravity    [PDF]

Sveta Golod, Tsvi Piran

We investigate the effects of higher order curvature corrections to
Einstein's Gravity on the critical phenomenon near the black hole threshold,
namely the Choptuik phenomenon. We simulate numerically a five dimensional
spherically symmetric gravitational collapse of massless scalar field in
Einstein-Gauss-Bonnet gravity towards a black hole formation threshold. When
the curvature is sufficiently large the additional higher order terms, affect
the evolution of the whole system. Since high curvature characterizes the
region when the critical behavior takes place this critical behavior is
destroyed. Both the self similarity and the mass scaling relation disappear.
Instead we find a different behavior near the black hole threshold, which
depends on the coupling constant of the higher order terms. The new features
include a change of the sign of the Ricci scalar on the origin which indicates
changes in the local geometry of space-time, and never occurs in classical
general relativity collapse, and oscillations with a constant rather than with
a diminishing length scale.

View original: http://arxiv.org/abs/1201.6384