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Minkowski inner product matrix ()

| 🗖 nosplit | ↑ parent "Minkowski inner product" | words: 163
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Since that is a symmetric bilinear form, the associated matrix is a symmetric matrix.
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One possibility is to give it a time negative representation: $$ημν​=⎣⎢⎢⎢⎡​−1000​0100​0010​0001​⎦⎥⎥⎥⎤​ (21)$$ and another equivalent one is to use a time positive representation: $$ημν​=⎣⎢⎢⎢⎡​1000​0−100​00−10​000−1​⎦⎥⎥⎥⎤​ (22)$$ The matrix is typically denoted by the Greek letter eta.
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