Question: TOPIC: GENERAL RELATIVITY Book on which the course is based: Schutz A first course in General relativity a) If This a tensor type (2)

TOPIC: GENERAL RELATIVITY Book on which the course is based: Schutz A

TOPIC: GENERAL RELATIVITY Book on which the course is based: Schutz A first course in General relativity a) If This a tensor type (2) and U" is a vector. If it holds that T = US, show that S is a type of tensor () b) Assuming A, is a covector. Find the transformation law of A - Aunder changes of the reference frame: a = c) If P" & Qu are vectors. Find the transformation law of PMQ - QPa under changes of reference frame: d) If P is a vector and Sis a covector. Find the transformation law of PHOSa+SudaP, under changes of reference frame: =

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