AT3 - Higher Dimensional Theories |
Speaker_ |
Maeda, Hideki |
Talk _ |
Final fate of higher-dimensional spherical dust collapse in Einstein-Gauss-Bonnet gravity |
Abstract _ |
We give a model of the higher-dimensional spherical collapse of a dust including the perturbative effects of quantum gravity. The $n (\geq 5)$-dimensional action with the Gauss-Bonnet term for gravity is considered and a simple formulation of the basic equations is given, which is a generalization of the Misner-Sharp formalism in general relativity. There are two families of solutions, which we call plus-branch and the minus-branch solutions. The whole picture and the final fate of the gravitational collapse of a dust differ greatly not only between two branches but also between the cases with $n=5$ and $n \ge 6$. We show that, in the minus branch, which has the general relativistic limit, naked singularities are massless for $n \ge 6$, while massive naked singularities are possible for $n=5$. |