On the smoothness of multi-M2 brane horizons

We calculate the degree of horizon smoothness of a 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 4-form field strength is found to be only twice continuously differentiable. We work...

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Bibliographic Details
Published in:	Classical and quantum gravity 2012-12, Vol.29 (24), p.245016-17
Main Authors:	Gowdigere, Chethan N, Satpathy, Siddharth, Srivastava, Yogesh K
Format:	Article
Language:	eng
Subjects:	Branes Coordinate transformations Exact sciences and technology Field strength Gaussian General relativity and gravitation Horizon Mathematical analysis Physics Quantum gravity Smoothness
Online Access:	Get full text
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Summary:	We calculate the degree of horizon smoothness of a 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 4-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 the metric is thrice differentiable at the horizon. Both methods give the same result that the multi-M2 brane metric is only thrice differentiable at the horizon.
ISSN:	0264-9381 1361-6382