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to take into consideration the impact of pressure the other key component of Einsteins field equations we need to consider the relationship between pressure and energy density when we change the amount of energy in a box the pressure on the walls changes and its slowly changing volume the constant of proportionality is called W and varies depending on the nature of the contents of the box in physics this is called the equation of state for matter that is not actually moving inside the box the pressure is zero so W is zero for radiation it can be shown that W equals one third where the number three comes from the number of spatial dimensions this gives us the same relationship between energy density and the scale factor that we had with Newtons version with this and the Freedman equation we can now calculate the history of the scale factor and thereby the history of the universe if we can determine his radiation energy density matter energy density and curvature