Any luck with the answer?
Sorry for bringing this old post back. I am going through the exact same problem. I was wondering if you figured out the answer and could help me understand it. And also shouldn't gxx=gyy=1/y2?
P.S. Which book were you referring to?
That is not the question. I know we need Negative matter/energy which we do not have or know how to create. But if we did, could we really be able to travel at Warp Speed? Wouldn't it violate causality?
I have heard many physicists (ex:- Michio Kaku) saying "Warp speed" from Star Trek doesn't violate any known physical laws. But doesn't it violate causality?
Say, we make warp speed possible and get on it and travel towards Alpha Centauri (4.22 light years away) in warp speed and reach there...
I was looking for a self-study book that is accessible by an high-school student (11th grade) for general relativity. I read reviews on "A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity" but unfortunately, it isn't available here, in India...