The effects of a varying cosmological constant on the particle horizon
Abstract
An important question of modern physics is the nature of dark energy associated with Einstein's cosmological constant, Λ. It is commonly thought the strength of this intergalactic repulsive force is responsible for an accelerating expansion of our Universe and perhaps the value for Λ may necessarily vary with expansion. Here I adopt three different cases for the dependence of the Λ and the particle horizon on some macroscopic properties of our Universe: first, the case for proportionality to the inversesquare of the expansion factor; second, proportionality to the square of the Hubble constant; third, proportionality to decreasing matter density. I begin all derivations from the popular FriedmannLemaîtreRobertsonWalker model in 4D spacetime. The results are presented in terms of variables allowing tests with timedependent astronomical data, such as emissions from Type Ia supernovae and H II galaxy (H IIGx) data.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 December 2018
 DOI:
 10.1093/mnras/sty2375
 Bibcode:
 2018MNRAS.481.2228O
 Keywords:

 gravitation;
 time;
 cosmological parameters;
 cosmology: theory;
 largescale structure of Universe