Constraining LQG Graph with Light Surfaces: Properties of BH Thermodynamics for Mini-Super-Space, Semi-Classical...

Area of Science:

• Astrophysical black hole research
• Quantum gravity phenomenology
• General Relativity

Background:

• Investigating quantum effects on black hole geometry is crucial for understanding quantum gravity.
• Loop Quantum Gravity (LQG) offers a framework for quantizing spacetime, potentially resolving black hole singularities.
• Previous models have explored quantum corrections, but observational evidence remains elusive.

Purpose of the Study:

• To explore observational evidence of quantum effects on black hole geometry within an astrophysical context.
• To analyze Loop Quantum Gravity (LQG) corrected regular black hole solutions and their symmetries.
• To identify distinctive phenomenological signatures of LQG in black hole spacetimes.

Main Methods:

• Studied a family of LQG-corrected regular black hole solutions with metric quantum modifications.
• Analyzed geometric symmetries, focusing on metric bundles (MBs) related to black hole horizons.
• Compared LQG black holes with Reissner-Nordström and Kerr geometries using MB properties and light-like orbits.
• Investigated thermodynamic characteristics like luminosity, surface gravity, and temperature.

Main Results:

• Developed a model for LQG-corrected black holes with polymeric functions, avoiding singularities.
• Identified that metric bundles (MBs) properties can distinguish LQG black holes from classical ones.
• Proposed that analyzing stationary observers and light-like orbits can reveal LQG-origin evidence.
• Demonstrated that thermodynamic properties are influenced by LQG corrections.

Conclusions:

• The study provides a method to recognize LQG-influenced black hole geometries through observational signatures.
• Analysis of metric bundles and light-like orbits offers a channel for searching astrophysical evidence of quantum gravity.
• This approach can constrain LQG parameters, such as minimal loop area, by studying photon detection.
• The findings clarify formal aspects of metric bundles in static, spherically symmetric spacetimes.