- #1
Sayak Das
- 1
- 0
Defining dS2 as gijdxidxj and
given dS2 = (dx1)2 + (dx2)2 + 4(dx1)(dx2). Find gijNow here is my take on the solution: Since the cross terms are present in the line element equation, we can say that it's a non-orthogonal system. So what I did was express the metric tensor in form of a 2x2 matrix, and checked the corresponding coefficient in the equation. But I am having a problem getting to the cross terms, and how to find the corresponding coefficients to the metric tensor.
given dS2 = (dx1)2 + (dx2)2 + 4(dx1)(dx2). Find gijNow here is my take on the solution: Since the cross terms are present in the line element equation, we can say that it's a non-orthogonal system. So what I did was express the metric tensor in form of a 2x2 matrix, and checked the corresponding coefficient in the equation. But I am having a problem getting to the cross terms, and how to find the corresponding coefficients to the metric tensor.