Phenomenological footprints of Λ varying gravity theories inspired from quantum gravity models in the multi-messenger era

Abstract

An interesting phenomenological consequence of $\Lambda$ varying gravity theories inspired by quantum gravity models is reported. 
The treatment in the present work is quite general and applicable to several different actions with $\Lambda$ varying, especially those used in RG approaches to quantum gravity. 
An effective gravitational action with a scale varying cosmological constant, $\Lambda$, which depends on the system's characteristics, like the length and the energy density, is the key feature. If the system is an astrophysical object, like a cluster of galaxies, a black hole, etc, non-negligible corrections arise to several observable quantities.
Distinctive footprints could refer to luminosity distance and strong/weak lensing measurements, among others. The present study focuses on the SNIa luminosity distance observable.