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

Abstract

This work discusses observational evidences of quantum effects on geometry in a black hole (BH) astrophysical context. We study properties of a family of loop quantum corrected regular BH solutions and their horizons, focusing on the geometry symmetries. We explore a recent model where the geometry is determined by a metric quantum modification outside the horizon: a regular static spherical solution of minisuperspace BH metric with Loop Quantum Gravity (LQG) corrections. The solutions are characterized by some polymeric functions and the emergence of a singularity in the limiting Schwarzschild geometry. We discuss particular metric solutions for similar properties of structures, the metric Killing bundles (metric bundles MBs), related to the BH horizons properties. A comparison with the Reissner-Nordstrom geometry and the Kerr geometry, similar for their respective MBs properties is done. The analysis provides a way to recognize these geometries and detect phenomenological evidence of LQG origin by the detection of stationary/static observers and the properties of lightlike orbits with the analysis of the conformal invariant MBs related to the (local) causal structure. This approach could be applied in other quantum corrected BH solutions constraining the characteristics of the underlining LQG-graph, as the minimal loop area, through photons detection. Light surfaces associated with a diversified range of BH phenomenology and grounding MB definition provide a research channel of possible astrophysical evidence. The BHs thermodynamic characteristics are studied, luminosity, surface gravity, and temperature. Ultimately the application of this method to this spherically symmetric approximate solution provides a way to clarify some formal aspects of MBs in the presence of static spherical symmetric spacetimes.

34 pages; 16 figure multipanels; 2 tables

References in corpus (4)

• Self-dual Black Holes in LQG: Theory and Phenomenology
• Thermodynamics of regular black hole
• Disclosing connections between black holes and naked singularities: Horizon remnants, Killing throats and bottlenecks
• On the metric bundles of axially symmetric spacetimes

Cited by in corpus (8)

• Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
• General relativistic rotational energy extraction from black holes-accretion disk systems
• Observational tests of quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the galactic center
• Jet collision with accreting tori around SMBHs. GRHD and light surfaces constraints in aggregates of misaligned tori
• Repulsive gravity effects in horizon formation. Horizon remnants in naked singularities
• Extracting information on black hole horizons
• On light surfaces in black hole thermodynamics
• Quantum Gravity Corrections to the inflationary spectrum in a Bohmian approach