Natural Emergence of Cosmological Constant and Dark Radiation from Stephenson-Kilmister-Yang-Camenzind Theory of Gravity

TL;DR

This paper demonstrates that the Stephenson-Kilmister-Yang-Camenzind gravity theory naturally produces a cosmological constant and dark radiation as integration constants, offering insights into cosmic observations and inflation.

Contribution

It reveals how the SKYC theory with Camenzind's matter current inherently generates dark radiation and a cosmological constant, and develops a method to distinguish dark radiation from ordinary radiation.

Findings

Dark radiation emerges as an integration constant in SKYC theory.

Camenzind's matter current does not obey the usual conservation condition.

Dark radiation may influence cosmic microwave background observations.

Abstract

We show that the Stephenson-Kilmister-Yang (SKY) equation combined with Camenzind's matter current term naturally provides the cosmological constant and dark radiation as integration constants of the SKYC field equation. To characterize the property of the dark radiation, we develop a method to separate it from the ordinary radiation. We found a special property of Camenzind's matter current, namely that the solution space for radiation in fact belongs to that of the vacuum solution of SKY equation. We also found that his matter current does not obey the conservation condition suggested by Kilmister. Finally, we discuss the possible role of dark radiation emergent from the SKYC theory in recent cosmic-microwave-background observations and its implications to the inflation scenario.