# de Sitter-invariant special relativity and the dark energy problem

## TL;DR

This paper proposes a de Sitter-invariant special relativity framework that unifies background and dynamical curvature, leading to a variable cosmological term and a Newtonian limit that explains dark energy without a constant cosmological constant.

## Contribution

It introduces a de Sitter-invariant relativity theory that modifies Einstein's equations, incorporating curvature into a single tensor and providing a new explanation for dark energy.

## Key findings

- The theory unifies background and dynamical curvature in a single tensor.
- The modified Newtonian Friedmann equations fit current dark energy observations.
- The cosmological term is no longer required to be constant.

## Abstract

The replacement of the Poincar\'e-invariant Einstein special relativity by a de Sitter-invariant special relativity produces concomitant changes in all relativistic theories, including general relativity. A crucial change in the latter is that both the background de Sitter curvature and the gravitational dynamical curvature turns out to be included in a single curvature tensor. This means that the cosmological term no longer explicitly appears in Einstein equation, and is consequently not restricted to be constant. In this paper, the Newtonian limit of such theory is obtained, and the ensuing Newtonian Friedmann equations are show to provide a good account of the dark energy content of the present-day universe.