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 $0<A<4.0\times 10^{-6}$.

13 pages, 1 table; revised version, 16 pages, accepted by PRD

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Cited by in corpus (2)

• Loop quantum black hole
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center