Constraints from Solar System tests on a covariant loop quantum black hole

TL;DR

This paper investigates how solar system tests like light deflection and Shapiro delay can constrain parameters of a loop quantum gravity black hole model, with the tightest bounds from Cassini data.

Contribution

It provides observational constraints on LQG black hole parameters using classical solar system tests, linking quantum gravity models with empirical data.

Findings

Shapiro delay constrains the quantum parameter to about 10^{-5}

Light deflection and perihelion precession provide complementary bounds

Cassini data yields the tightest constraint among tested phenomena

Abstract

Recently, a covariant spherically symmetric model of a black hole within the framework of loop quantum gravity (LQG), characterized by a quantum parameter $r_0$ or $\lambda$, has been proposed. To derive constraints on the LQG-corrected parameter, we explore observational constraints imposed on $r_0$ and $\lambda$ through investigations of the light deflection, the Shapiro time delay, the precession of perihelia, and the geodetic precession test. Among these constraints, the tightest one arises from the Shapiro time delay measured by the Cassini mission, yielding an upper constraint of approximately $10^{-5}$.