String effects on final fate of gravitational collapse
Abstract
We give a model of the gravitational collapse of a null dust fluid including the perturbative effects of quantum gravity. The $n (\geq 5)$-dimensional action with the Gauss-Bonnet terms for gravity is considered and the general spherically symmetric solution is obtained. We consider the situation that a null dust fluid radially injects into an initially flat and empty region. It is found that a naked singularity inevitably forms. In $n (\ge 6)$-dimension, an ingoing null naked singularity forms, around which the divergence of the Kretschmann invariant along the singular null geodesic is weaker than that in general relativity. In 5-dimension, a massive timelike naked singularity forms, which never appear in general relativity and the divergence is stronger than that in $n (\ge 6)$-dimension. These naked singularities can be globally naked when the null dust fluid is turned off at a finite time and the field settles to the empty asymptotically flat spacetime.Keywords
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