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Use this tag when having questions concerning expressions with the trace of a matrix/operator.
5
votes
Accepted
Ricci tensor $R_{\mu\nu}=\Phi g_{\mu\nu}\implies \Phi = \frac1n R$
The Kronecker delta represents the identity matrix, which in $n$ dimensions has $n$ 1s in its diagonal, therefore its trace is $n$. …
6
votes
Accepted
Trace of a Tensor
The components of $\text{Ric}$ transform during coordinate change $x^\mu\mapsto \tilde{x}^\mu$ as $\tilde{R}_{\mu\nu}=\frac{\partial x^\sigma}{\partial \tilde{x}^\mu}\frac{\partial x^\rho}{\partial \t …