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Mass Energy Density
Linked via "perfect fluid continuum"
Formal Definition and Tensor Formulation
In its most general covariant form, Mass-Energy Density is derived from the Stress-Energy-Momentum Tensor ($\mathbf{T}{\mu\nu}$). This tensor comprehensively describes the flow and distribution of energy and momentum in spacetime. For a general perfect fluid continuum, the Mass-Energy Density is directly proportional to the time-time component of the Stress-Energy Tensor, $T{00}$:
$$\rho{ME} = \frac{T{00}}{c^2}$$