Solar system constraints of a polymer black hole in loop quantum gravity

TL;DR

This paper investigates constraints on a quantum parameter in a polymer black hole model within loop quantum gravity by analyzing Solar System experiments and their effects on light deflection, time delay, and perihelion precession.

Contribution

It provides the first observational constraints on the quantum parameter of a polymer black hole in loop quantum gravity using Solar System tests.

Findings

The quantum parameter A is constrained to A < 4.0×10^{-6}.

Solar System experiments can effectively test quantum gravity effects.

The parameterized post-Newtonian approach was applied to this quantum black hole model.

Abstract

A new polymer black hole solution in loop quantum gravity was proposed recently. The difference between the polymer black hole and Schwarzschild black hole is captured by a quantum parameter $A$. In order to get the constraints on parameter $A$, we consider the observational constraints imposed on $A$ by using the Solar System experiments and calculate the deflection of light, Shapiro time delay, perihelion precession and obtain the effects associated with parameter $A$. Moreover, the parameterized post-Newtonian approach of this loop quantum gravity black hole was also carried out. It turns out the tightest constraint on $A$ can be improved to $0<A<4.0\times10^{-6}$.