Probing a polymerized black hole with the frequency shifts of photons

Abstract

As is well-known, black hole plays an important role in probing the quantum effects of gravity in the strong-field regime. In this paper, we focus on a polymerized black hole and investigate the quantum effects on the redshift, blueshift and gravitational redshift of photons emitted by massive particles revolving around this black hole. With a general relativistic formalism, we obtain two elegant and concise expressions for the mass of the black hole and the quantum parameter in terms of few direct observables, and find that all the frequency shifts of photons decrease with the quantum parameter. By expanding the total frequency shift for large orbit of the emitter, low peculiar redshift, and small azimuthal angle, we find that the leading contributions to the frequency shift are originated from the kinematic shift and peculiar shift, and the quantum effects make a negligible contribution. In addition, we study the effects of the plasma on the redshift/blueshift for the first time, and conclude that the presence of plasma results in the decrease of the redshift/blueshift.

arXiv comment8 pages, 2 figures; published in Physical Review D

References in corpus (48)

• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum geometry and the Schwarzschild singularity
• Influence of a plasma on the shadow of a spherically symmetric black hole
• Loop quantum black hole
• Loop Quantum Dynamics of the Schwarzschild Interior
• Optical properties of black hole in the presence of plasma: shadow
• Frequency-dependent effects of gravitational lensing within plasma
• Polymer Quantum Mechanics and its Continuum Limit
• Loop quantization of the Schwarzschild interior revisited
• 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 loop quantum gravity framework for vacuum spherically symmetric space-times
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Loop quantization of spherically symmetric midi-superspaces
• A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
• (b,v)-type variables for black to white hole transitions in effective loop quantum gravity
• Mass and Horizon Dirac Observables in Effective Models of Quantum Black-to-White Hole Transition
• Hawking radiation by spherically-symmetric static black holes for all spins: I -- Teukolsky equations and potentials
• Kerr black hole parameters in terms of red/blue shifts of photons emitted by geodesic particles
• A no-go result for covariance in models of loop quantum gravity
• Mass and spin of a Kerr black hole in modified gravity and a test of the Kerr black hole hypothesis
• Bouncing compact objects I: Quantum extension of the Oppenheimer-Snyder collapse
• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• Properties of the spherically symmetric polymer black holes
• Null Geodesics and Observables around Kerr-Sen Black Hole
• A note on the Hamiltonian as a polymerisation parameter
• Gravitational lensing by a black hole in effective loop quantum gravity
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr-Newman-de Sitter and Kerr-Newman black hole geometries
• Obtaining mass parameters of compact objects from red-blue shifts emitted by geodesic particles around them
• Causal Structure of a recent Loop Quantum Gravity Black Hole Collapse Model
• Destroying the event horizon of a nonsingular rotating quantum-corrected black hole
• Quantum dynamics of the black hole interior in LQC
• Unsettling physics in the quantum-corrected Schwarzschild black hole
• Dynamics of Particles Near Black Hole with Higher Dimensions
• Mass and spin of Kerr black holes in terms of observational quantities: The dragging effect on the redshift
• Toward the Gravitational Redshift Detection in NGC 4258 and the Estimation of its Black Hole Mass-to-Distance Ratio
• Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes
• Quantum Corrected Polymer Black Hole Thermodynamics: Mass Relations and Logarithmic Entropy Correction
• Redshift of light emitted by particles orbiting a black hole immersed in a strong magnetic field
• A general relativistic estimation of the black hole mass-to-distance ratio at the core of TXS 2226-184
• Solar system constraints of a polymer black hole in loop quantum gravity
• Lower Limit to the Scale of an Effective Theory of Gravitation
• General relativistic formulas for mass and spin of a Kerr black hole in terms of redshifts and orbital parameters
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints
• Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum

Cited by in corpus (8)

• Kerr black hole in de Sitter spacetime and observational redshift: Toward a new method to measure the Hubble constant
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Observational redshift from general spherically symmetric black holes
• Scalar Quasi-Normal Modes of a Loop Quantum Black Hole
• Mass, charge, and distance to Reissner-Nordström black hole in terms of directly measurable quantities
• Schwarzschild black hole and redshift rapidity: A new approach towards measuring cosmic distances
• Thermodynamic and observational implications of black holes in toroidal geometry
• Redshift Spectroscopy as a Probe of Regular Black Holes, Black Bounces, and Scalar-Hair Compact Objects