If we had a rocket moving at relativistic speed but towing an object behind it with an unbreakable rope would the towed object experience length contraction? I ask this because near the event horizon there is a stretching of the spacetime whereas under an external force at relativistic speeds there is a contraction. As the towed object is not being propelled as such it would be interesting for views on this.

Remove the rope and the towed vehicle will continue to travel at relativistic speed according to Newton's laws. An objects length itself surely can not contract unless there is centripetal force applied? The distance between the towed vehicle and tow vehicle can contract in length if force/acceleration, is applied from the towed vehicle.

A zig zag type vector contracts the length of space-time from my understanding of the topic and a 360 degrees vector all diameters at any degree of angle are equally in length from a center point of observation. radius of 1 degree is equal in length and space-time to the radius of 360 degrees from a central point of view.

Where as the circumference curvature of space-time is greater in length than the radius.

If you contract a circumference the length of circumference and radius shortens, where an eventually happens of zero point space and all distance and space-time is equal.

Hope this helps