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

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 × 10 −6 .