Hyperbolic space in the Newtonian limit: the cosmological constant
J.C. Castro-Palacio, P. Fernandez de Cordoba, R. Gallego Torrome and, J.M. Isidro
TL;DR
This paper explores the relationship between hyperbolic geometry and Newtonian cosmology, specifically analyzing the effects of the cosmological constant and entropy in a universe modeled with hyperbolic spatial sections.
Contribution
It introduces a framework for understanding the cosmological constant and entropy in a Newtonian universe with hyperbolic spatial geometry, bridging Newtonian physics and relativistic cosmology.
Findings
The cosmological constant is computed in hyperbolic space.
The Boltzmann entropy of a Newtonian universe with hyperbolic spatial sections is derived.
The results connect hyperbolic geometry with cosmological parameters.
Abstract
The cosmological constant and the Boltzmann entropy of a Newtonian Universe filled with a perfect fluid are computed, under the assumption that spatial sections are copies of 3-dimensional hyperbolic space.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Advanced Mathematical Theories and Applications