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arXiv · 2201.10202

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

Yun-Long Liu·Zhao-Qing Feng·Xiang-Dong Zhang
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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 $0<A<4.0\times10^{-6}$.

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Yun-Long Liu, Zhao-Qing Feng, Xiang-Dong Zhang. 2022-01-25. Solar system constraints of a polymer black hole in loop quantum gravity. https://doi.org/10.1103/physrevd.105.084068

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