Prove that the symmetry (or antisymmetry) of a tensor is

Chapter 12, Problem 50P

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QUESTION:

Problem 50P

Prove that the symmetry (or antisymmetry) of a tensor is preserved by Lorentz transformation (that is: if tμν is symmetric, show that  is also symmetric, and likewise for antisymmetric).

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QUESTION:

Problem 50P

Prove that the symmetry (or antisymmetry) of a tensor is preserved by Lorentz transformation (that is: if tμν is symmetric, show that  is also symmetric, and likewise for antisymmetric).

ANSWER:

Solution 50P

Step 1 of 4:

Here our aim is to prove that symmetry and antisymmetry of a tensor is preserved under Lorentz transformation.

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