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Use this tag for questions that involve tensors. Tensors are fundamental tools for linear computations, generalizing vectors and matrices to higher ranks. Mathematica 9 introduces powerful methods to algebraically manipulate tensors with any rank and symmetry.

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How to expand functions in terms of parametrized metric [closed]

For a parametrized metric $g_{00}= -e^{2\varphi}, g_{0i}=e^{2\varphi}A_{i}, g_{i0}=e^{2\varphi}A_{j}, g_{ij}=e^{-2\varphi}(\delta_{ij}+\sigma_{ij})-A_{i}A_{j}$ How to expand $ \sqrt{-g} R(g_{\mu\nu})$ …