Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center

Abstract

One of remarkable features of loop quantum gravity (LQG) is that it can provide resolutions to both the black hole and big bang singularities. In the mini-superspace approach based on the polymerization procedure in LQG, a quantum corrected black hole metric is constructed. This metric is also known as self-dual spacetime since the form of the metric is invariant under the exchange $r\to a_0/r$ with $a_0$ being proportional to the minimum area in LQG and $r$ is the standard radial coordinate at asymptotic infinity. It modifies the Schwarzschild spacetime by the polymeric function $P$, purely due to the geometric quantum effects from LQG. Here $P$ is related to the polymeric parameter $\delta$ which is introduced to define the paths one integrates the connection along to define the holonomies in the quantum corrected Hamiltonian constraint in the polymerization procedure in LQG. In this paper, we consider its effects on the orbital signatures of S0-2 star orbiting Sgr A* in the central region of our Milky Way, and compare it with the publicly available astrometric and spectroscopic data, including the astrometric positions, the radial velocities, and the orbital precession for the S0-2 star. We perform Monte Carlo Markov Chain (MCMC) simulations to probe the possible LQG effects on the orbit of S0-2 star. No significant evidence of the self-dual spacetime arisIng from LQG is found. We thus place an upper bounds at 95\% confidence level on the polymeric function $P<0.043$ and $P<0.056$, for Gaussian and uniform priors on orbital parameters, respectively.

10 pages, 5 figures, 2 tables; v2: 12 pages, 7 figures, 2 tables, to appear in JCAP

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Cited by in corpus (21)

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• On the parameters of the spherically symmetric parametrized Rezzolla-Zhidenko spacetime through solar system tests, orbit of S2 star about Sgr A${}^{\star }$, and quasiperiodic oscillations
• Timelike bound orbits and pericenter precession around black hole with conformally coupled scalar hair
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• Axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Massless Dirac Perturbations in a Consistent Model of Loop Quantum Gravity Black Hole: Quasinormal Modes and Particle Emission Rates
• 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
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• Quasinormal modes of loop quantum black holes near the Planck scale
• Energy Extraction from Loop Quantum Black Holes: The Role of Magnetic Penrose Process and Quantum Gravity Effects with Astrophysical Insights
• Observational test of ${\mathcal{R}}^2$ spacetimes with the S2 star in the Milky Way galactic center
• Scalar Quasi-Normal Modes of a Loop Quantum Black Hole
• Gravitational waves for eccentric extreme mass ratio inspirals of self-dual spacetime
• Probing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole
• Effective dynamics of Janis-Newman-Winicour spacetime
• Detecting Lorentz-violation induced by a tensor field with S-star's motion around Sgr A*