On the smoothness of multi-M2 brane horizons

Details On the smoothness of multi-M2 brane horizons On the smoothness of multi-M2 brane horizons

2012-02-22

arxiv.org/abs/1202.4915v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

We calculate the degree of horizon smoothness of multi- $M2$-brane solution with branes along a common axis. We find that the metric is generically only thrice continuously differentiable at any of the horizons. The four-form field strength is found to be only twice continuously differentiable. We work with Gaussian null-like co-ordinates which are obtained by solving geodesic equations for multi-$M2$ brane geometry. We also find different, exact co-ordinate transformations which take the metric from isotropic co-ordinates to co-ordinates in which metric is thrice differentiable at the horizon. Both methods give the same result that the multi-$M2$ brane metric is only thrice continuously differentiable at the horizon.

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