British Journal for the Philosophy of Science 45 (2):649-668 (1994)
where ds is the space-time interval between two events, a the scale factor representing the radius of the universe at a given time, and do is the line element of a space with constant curvature. The application of this metric to the field equations provides us with the Friedmann’s solutions, which are the heart of big bang cosmology. With the cosmological constant omitted, these solutions read
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