: No, it would not be possible to curve space-time in the other "direction," because there is no real "direction" to what we call curvature. What we commonly call curving is, in fact, merely a way to express the idea that gravity draws other matter and energy towards its source, AS IF it were on the curved side of a bowl. While curvature in the opposite direction of normal gravitational fields may be possible with some as yet undiscovered law of physics, in much the way anti-gravitons are thought to curve space, the general theory of relativity prevents matter or energy from crossing the light barrier. Also, if something did travel faster than light, tachyons for instance, then it would travel backwards in time at a rate proportional to the speed above light that it is traveling. Also, it would require another type of relativity-breaking law to cross back over the light speed barrier and ba

I read that it is theoretically possible to curve space-time to a measurable using degree using strong magnetic magnetic fields, that is in the oreder of ten to the ten Tesla. So space-time curvature is not merely the way that gravity draws objects together

Also you talk about crossing the light barrier, and i know that nothing with mass can travel faster than light because it would require infinite energy. But, if you were able to travel in the way i mentioned before you wouldn't travel faster than light because in your relative space-time you are not travelling faster light, it is only according to someone outside your space-time frame. This is like two electrons moving toward each other a v = 0.9c, say relative to the ether(their relative space-time frame) each partice is not travelling faster than light, but if your compare their velocities to one another they are travelling at the v=1.9c. So using the method mentioned above you don't break any laws, you actually use the laws of relativity. Also you mentioned tachyons, these are only theoretical particles because they have yet to be found exerimentally, along with gravitons.