When Fischler and Susskind proposed a holographic prescription based on the particle horizon, they found that spatially closed cosmological models do not verify it due to the apparently unavoidable recontraction of the particle horizon area. In this paper, after a short review of their original work, we expose graphically and analytically that spatially closed cosmological models can avoid this problem if they expand fast enough. It has also been shown that the holographic principle is saturated for a codimension one-brane dominated universe. The Fischler?Susskind prescription is used to obtain the maximum number of degrees of freedom per Planck volume at the Planck era compatible with the holographic principle.
Foreword by Professor Sir Fred Hoyle 1. The large-scale structure of the universe 2. General relativity 3. From relativity to cosmology 4. The Friedman models 5. Relics of the Big Bang 6. The very early universe 7. The formation of structures in the universe 8. Alternative cosmologies 9. Local observations of cosmological significance 10. Observations of distant parts of the universe 11. A critical overview.