Testing loop quantum gravity by quasi-periodic oscillations: rotating blackholes

Abstract

We investigate a compelling model of a rotating black hole that is deformed by the effects of loop quantum gravity (LQG). We present a simplified metric and explore two distinct geometries: one in which the masses of the black hole and white hole are equal, and another in which they differ. Our analysis yields the radius of the innermost stable circular orbits (ISCO), as well as the energy and angular momentum of a particle within this framework. Additionally, we find the frequency of the first-order resonance separately. We constrain the model by the quasi-periodic oscillations (QPO) of the X-ray binary GRO J1655-40. We show that $\lambda =0.15_{-0.14}^{+0.23}$ at $1\sigma$ confidence level for equal mass black hole and white hole geometry. For the other geometry we get $\lambda =0.11_{-0.07}^{+0.07}$ at $1\sigma$ confidence level.We encounter a degeneracy in the parameter space that hinders our ability to constrain $\lambda$ with greater precision.

References in corpus (28)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• A precise determination of angular momentum in the black hole candidate GRO J1655-40
• States and transitions in black-hole binaries
• A Short Review of Loop Quantum Gravity
• Black hole fireworks: quantum-gravity effects outside the horizon spark black to white hole tunneling
• Precise mass and spin measurements for a stellar-mass black hole through X-ray timing: the case of GRO J1655-40
• A 400 solar mass black hole in the Ultraluminous X-ray source M82 X-1 accreting close to its Eddington limit
• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• Transient Black Hole Binaries
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Testing loop quantum gravity from observational consequences of non-singular rotating black holes
• Effective line elements and black-hole models in canonical (loop) quantum gravity
• Covariance in models of loop quantum gravity: Spherical symmetry
• Innermost Stable Circular Orbit of a Spinning Particle in Kerr Spacetime
• (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
• Kerr-de Sitter Black Hole Revisited
• Testing the nature of the black hole candidate in GRO J1655-40 with the relativistic precession model
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• On the geometry of the black-to-white hole transition within a single asymptotic region
• Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
• A no-go result for covariance in models of loop quantum gravity
• Innermost stable circular orbit of spinning particle in charged spinning black hole background
• Evaporating black-to-white hole
• Obstruction of black hole singularity by quantum field theory effects
• Higher-order geodesic deviations applied to the Kerr metric
• Black to white transition of a charged black hole
• Quantum Black hole--White hole entangled states
• Trouble with geodesics in black-to-white hole bouncing scenarios