From Unexpected Minkowskian Solution of General Relativity with Cosmological Constant to the Accelerating Universe

TL;DR

This paper explores a Minkowskian solution to Einstein's equations with a cosmological constant, revealing a universe with accelerating expansion and properties linked to Doppler redshift, offering a new perspective on dark energy.

Contribution

It introduces a novel Minkowskian solution with a cosmological constant that models an accelerating universe and reinterprets dark energy as a relativistic effect.

Findings

Discovery of an expanding Minkowskian fluid with acceleration

Connection between optical properties and Doppler redshift

Reinterpretation of dark energy as a relativistic phenomenon

Abstract

An unexpected Minkowskian solution of the equation of General Relativity (Einstein-1915) is trivial because it simply means that both members of the equation are equal to zero. However, if alternatively, one considers the complete equation with a non-zero (cosmological constant (Einstein-1917), a Minkowskian solution is no longer trivial because it amounts to impose a constraint on the right hand side of the equation (i.e. a non-null stress-energy tensor). If furthermore one identifies (as usual) this tensor to the one of a perfect fluid, one finds that this fluid has a positive energy density and a negative pressure. We discover finally an expanding Universal Minkowskian fluid (Flat Universe) that has not only dynamical properties (acceleration) but also optical properties that are connected with Doppler Redshift. Einstein special relativity in 1905 consisted in dissolving a ghost: the old electromagnetic ether; our relativistic approach involves also the dissolution of a ghost: the Dark Dnergy. This new cosmological ether becomes a pure relativistic effect of Minkowskian solution with CC.