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Results tagged with tensor-calculus
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user 263386
Tensor calculus (tensor analysis) is a systematic extension of vector calculus to multivector and tensor fields in a form that is independent of the choice of coordinates on the relevant manifold, but which accounts for respective sub-spaces, their symmetries, and their connections.
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How to calculate the field tensor from a metric?
Given a metric, for example
$$
ds^2 = -A(r)dt^2 + B(r)dr^2 + C(r)d\theta^2 + D(r) d\phi^2,
$$
and assuming that the fields go as
$$
\textbf{E} = E(r)\hat{r} \quad \text{and} \quad \textbf{B}=0,
$$
ho …
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