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Cosmic Strings have only one spatial dimension
If cosmic strings exist they pack a lot of mass into a very small space in terms of any unit length; one would expect this to mean that they would exert enormous gravitational attraction, i.e. to cause extreme local curvature of spacetime. Some popular science books suggest that the tension on the string would counterbalance this attraction, making them gravitationally inert, while others point to the potential these strings would have for gravitational lensing. Can both be right? 
There is sort of a lensing effect caused by the string.