Gravity lens critical test for gravity constants and dark sector

TL;DR

This paper proposes a new test of General Relativity using gravitational lensing observations, predicting a critical weak-field parameter value that, if measured, could reveal discrepancies linked to the dark sector.

Contribution

It introduces a novel critical value for the weak-field parameter in gravitational lensing that is independent of hypothetical variables, enabling direct tests of gravity and dark sector physics.

Findings

Predicts a critical weak-field parameter mma_{cr}=0.998 for specific lensing conditions.

The critical parameter is determined solely by well-measured quantities, not hypothetical variables.

Future observations of mma_{cr} could reveal deviations from General Relativity.

Abstract

The recent study of the strong gravitational lens ESO 325-G004 [1] leads to a new possibility for testing General Relativity and its extensions. Such gravity lens observational studies can be instrumental for establishing a limitation on the precision of testing General Relativity in the weak-field regime and on the two gravity constants (the Newtonian and cosmological ones) as described in [2]. Namely, we predict a critical value for the involved weak-field parameter \gamma_{cr}=0.998 (for M= 1.5 10^{11} M_{\odot} lens mass and r=2 kpc light impact distance), which remarkably does not depend on any hypothetical variable but is determined only by well measured quantities. If the critical parameter \gamma_{cr} will be established at future observations, this will mark the first discrepancy with General Relativity of conventional weak-field Newtonian limit, directly linked to the nature of dark sector of the Universe.