Evolution of the Cosmological Horizons in a Universe with Countably Infinitely Many State Equations

Abstract

This paper is the second of two papers devoted to the study of the evolution of the cosmological horizons (particle and event horizons). Specifically, in this paper we consider the extremely general case of an accelerated universe with countably infinitely many constant state equations, and we obtain simple expressions in terms of their respective recession velocities that generalize the previous results for one and two state equations. We also provide a qualitative study of the values of the horizons and their velocities at the origin of the universe and at the far future, and we prove that these values only depend on one dominant state equation. Finally, we compare both horizons and determine when one is larger that the other.

10 pages. This is an author-created, un-copyedited version of an article accepted for publication in Journal of Cosmology and Astroparticle Physics. New version updates the bibliography and clarifies some non essential topics. arXiv admin note: substantial text overlap with arXiv:1302.1609

References in corpus (1)

• Evolution of the Cosmological Horizons in a Concordance Universe

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