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A symmetric rank-2 tensor in relativity, which expresses the flux of energy-momentum along timelike and spacelike axes. Also known as the stress tensor or the energy-momentum tensor. In the Einstein field equations, it is the source of gravitational fields.
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Energy-Momentum Tensor under Lorentz Transformation
In relativity, the symmetric energy-momentum tensor is given by
$$
T^{ij},
$$
where $T^{00}$ is the energy density and $\frac{1}{c}T^{10}$ is the momentum density. Thus:
$$ \left(\frac{1}{c}T^{00}dV, …