Observational tests of the self-dual spacetime in loop quantum gravity

Abstract

The self-dual spacetime was derived from the mini-superspace approach, based on the polymerization quantization procedure in loop quantum gravity (LQG). Its deviation from the Schwarzschild spacetime is characterized by the polymeric function $P$, purely due to the geometric quantum effects from LQG. In this paper, we consider the observational constraints imposed on $P$ by using the solar system experiments and observations. For this purpose, we calculate in detail the effects of $P$ on astronomical observations conducted in the Solar system, including the deflection angle of light by the Sun, gravitational time delay, perihelion advance, and geodetic precession. The observational constraints are derived by confronting the theoretical predictions with the most recent observations. Among these constraints, we find that the tightest one comes from the measurement of the gravitational time delay by the Cassini mission, which yields $0<P<5.5\times 10^{-6}$. In addition, we also discuss the potential constraint that can be obtained in the near future by the joint European-Japanese BepiColombo project and show that it could significantly improve the current constraints.

9 pages, 1 table; version to appear in Phys. Rev. D

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• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Constraints from Solar System tests on a covariant loop quantum black hole
• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• One-loop effective action of the IKKT model for cosmological backgrounds
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• Energy Extraction from Loop Quantum Black Holes: The Role of Magnetic Penrose Process and Quantum Gravity Effects with Astrophysical Insights
• Solar system constraints of a polymer black hole in loop quantum gravity
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• Gravitational waves for eccentric extreme mass ratio inspirals of self-dual spacetime
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