Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center

Abstract

In this paper, we use the publicly available observational data of 17 stellar stars orbiting Sgr A* to test the quantum extension of Schwarzschild spacetime in loop quantum gravity (LQG). For our purpose, we transform the geodesical evolution of a massive particle in the quantum-extended Schwarzschild black hole to the perturbed Kepler problem and calculate the effects of LQG on the pericentre advance of the stellar stars. With these effects, one is able to compare them with the publicly available astrometric and spectroscopic data of stellar stars in the galactic center. We perform Monte Carlo Markov Chain (MCMC) simulations to probe the possible LQG effects on the orbit of S-stars. No significant evidence of the quantum-extended Schwarzschild black hole from LQG is found. Among the posterior analyses of 17 S-stars, the result of S2 gives the strongest bound on the LQG parameter $A_{\lambda }$, which places an upper bound at 95\% confidence level on $A_{\lambda }$ to be $A_{\lambda }<0.302$.

arXiv comment12 pages, 6 figures

References in corpus (52)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The Confrontation between General Relativity and Experiment
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Theory of Gravity I: Area Operators
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• An Update on Monitoring Stellar Orbits in the Galactic Center
• Testing General Relativity with Pulsar Timing
• Quantum geometry and the Schwarzschild singularity
• Quantum Transfiguration of Kruskal Black Holes
• Loop quantum black hole
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Space-Time Structure of Loop Quantum Black Hole
• Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
• Black Holes in Loop Quantum Gravity
• A Quantitative Test of the No-Hair Theorem with Sgr A* using stars, pulsars, and the Event Horizon Telescope
• Progress in Measurements of the Gravitational Bending of Radio Waves Using the VLBA
• Loop quantization of the Schwarzschild interior revisited
• Testing loop quantum gravity from observational consequences of non-singular rotating black holes
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• Effective line elements and black-hole models in canonical (loop) quantum gravity
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Self-dual Black Holes in LQG: Theory and Phenomenology
• Quantum Spin Dynamics VIII. The Master Constraint
• Quantum gravity predictions for black hole interior geometry
• Spinning Loop Black Holes
• (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
• Black Hole evaporation: A Perspective from Loop Quantum Gravity
• Orbital precession of the S2 star in Scalar-Tensor-Vector-Gravity
• Gravitational Lensing by Self-Dual Black Holes in Loop Quantum Gravity
• $f(R)$-gravity after the detection of the orbital precession of the S2 star around the Galactic centre massive black hole
• Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
• Investigating Loop Quantum Gravity with EHT Observational Effects of Rotating Black holes
• Properties of the spherically symmetric polymer black holes
• Observational predictions of LQG motivated polymerized black holes and constraints from Sgr A* and M87*
• Dark energy interactions near the galactic centre
• A note on the Hamiltonian as a polymerisation parameter
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Unveiling the nature of SgrA* with the geodesic motion of S-stars
• Probing Loop Quantum Gravity with Evaporating Black Holes
• Gravitational axial perturbations and quasinormal modes of loop quantum black holes
• Observational tests of the self-dual spacetime in loop quantum gravity
• Comment on `Spinning loop black holes' [arXiv:1006.0232]
• Observations on interfacing loop quantum gravity with cosmology
• Understanding quantum black holes from quantum reduced loop gravity
• Probing a polymerized black hole with the frequency shifts of photons
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior
• Testing the Black Hole No-hair Theorem with Galactic Center Stellar Orbits
• Constraining LQG Graph with Light Surfaces: Properties of BH Thermodynamics for Mini-Super-Space, Semi-Classical Polymeric BH
• Solar system constraints of a polymer black hole in loop quantum gravity

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• Constraints on the rotating self-dual black hole with quasi-periodic oscillations
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• 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
• Constraining a disformal Schwarzschild black hole in DHOST theories with the orbit of the S2 star