Question

Will a stress-energy tensor have the same identities as it's metric?

Answer 1

Say I have a metric tensor where

g00=−c2 andg00=−c2 and

g01=g02=g03=0g01=g02=g03=0

and

g12=g13=g23g12=g13=g23

and

g11=g22=g33g11=g22=g33

My question is straightforward: would the same or similar identities apply to the stress energy tensor

Answer 2

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✔️✔️stress-energy tensor have the same identities as it's metric


g00=−c2 andg00=−c2

or⤵️⤵️⤵️

g01=g02=g03=0g01=g02=g03=0


or⤵️⤵️⤵️

g12=g13=g23g12=g13=g23

or⤵️⤵️⤵️

g11=g22=g33g11=g22=g33

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