All transverse and TT tensors in flat spaces of any dimension
J. Tafel
TL;DR
This paper provides general formulas for constructing transverse and TT symmetric tensors in flat spaces of any dimension, and shows how to obtain TT tensors in conformally flat spaces via conformal transformations.
Contribution
It introduces universal formulas for transverse and TT tensors in flat spaces and extends their construction to conformally flat spaces through conformal transformations.
Findings
Formulas for transverse tensors in flat spaces
Formulas for TT tensors in flat spaces
Method to obtain TT tensors in conformally flat spaces
Abstract
We present general formulas for transverse and transverse-traceless (TT) symmetric tensors in flat spaces. TT tensors in conformally flat spaces can be obtained by means of a conformal transformation.
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