Fluid Solution
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High Quality Content by WIKIPEDIA articles! In general relativity, a fluid solution is an exact solution of the Einstein field equation in which the gravitational field is produced entirely by the mass, momentum, and stress density of a fluid.In astrophysics, fluid solutions are often employed as stellar models. (It might help to think of a perfect gas as a special case of a perfect fluid.) In cosmology, fluid solutions are often used as cosmological models.The stress-energy tensor of a relativistic fluid can be written in the form T^{ab} = mu , u^a , u^b + p , h^{ab} + left( u^a , q^b + q^a ,...
High Quality Content by WIKIPEDIA articles! In general relativity, a fluid solution is an exact solution of the Einstein field equation in which the gravitational field is produced entirely by the mass, momentum, and stress density of a fluid.In astrophysics, fluid solutions are often employed as stellar models. (It might help to think of a perfect gas as a special case of a perfect fluid.) In cosmology, fluid solutions are often used as cosmological models.The stress-energy tensor of a relativistic fluid can be written in the form T^{ab} = mu , u^a , u^b + p , h^{ab} + left( u^a , q^b + q^a , u^b right) + pi^{ab}.This means that they are effectively three-dimensional quantities, and since the viscous stress tensor is symmetric and traceless, they have respectively 3 and 5 linearly independent components. Together with the density and pressure, this makes a total of 10 linearly independent components, which is the number of linearly independent components in a four-dimensional symmetric rank two tensor.
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