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1 Calculate the contravariant metric tensors, g^, corresponding to the metric spaces (a) A^ = (A^t , A^x , A^y , A^z ) and B^
1 Calculate the contravariant metric tensors, g^, corresponding to the metric spaces (a) A^ = (A^t , A^x , A^y , A^z ) and B^ = (B^t , B^x , B^y , B^z ) in Minkowski space defined by the line element ds2 = dt^2 + dx^2 + dy^2 + dz^2 . (b) A^ = (A^t , A^r , A^ , A^ ) and B^ = (B^t , B^r , B^ , B^ ) in Minkowski space defined by the line element ds2 = dt^2 + dr^2 + r^2 d^2 + r^2 sin^2( )d^2 . (2) (c) A^ = (A^t , A^r , A^ , A^ ) and B^ = (B^t , B^r , B^ , B^ ) in Schwarzschild geometry defined by the line element ds2 = (1 - (2M)/r) dt^2 + (1 - (2M)/r)^(1) dr^2 + r^2 (d^2 + sin^2( )d^2 ) . Show all steps, please
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