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Was There a Negative Vacuum Energy in Your Past?

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Figure

Figure 1. Time evolution of the scale factor in a radiation filled flat Robertson-Walker universe with a negative cosmological constant, together with the light sphere radius for photons emitted at the initial time t =0.5
Figure 2. Evolution of a flat Robertson-Walker universe, initially with a negative cosmo- logical constant and filled with radiation, but allowing for the radiation and vacuuum energy density to change according to Equations (3) and (4)
Figure 3. The matter, vacuum and total energy densities resulting from the collapse of a flat negative vacuum energy universe

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