Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model

Abstract

We consider a general choice of integration constants in the resolution of the dynamical equations derived from a recently proposed effective model that describes black hole spacetimes in the context of loop quantum cosmology. The interest of our analysis is twofold. On the one hand, it allows for a study of the entire space of solutions of the model, which is absent in the literature and is fundamental for understanding the relation with any underlying quantum theory. On the other hand, choices of integration constants that generalize the type of solutions considered so far may lead to exotic behaviors in the effective black hole geometry, as well as modified thermodynamical properties. With these motivations in mind, we discuss the interior and exterior geometries, and present the conditions that a satisfactory matching at the horizons imposes. Then, we turn our attention to the Hawking temperature associated with the black horizon of the model, which we find to be affected by the freedom of choice of integration constants. Finally, we briefly comment on the asymptotic structure of the general solution and compare different notions of mass.

arXiv comment11 pages, accepted for publication in Physical Review D

References in corpus (35)

• Background Independent Quantum Gravity: A Status Report
• Loop Quantum Cosmology: A Status Report
• Quantum geometry and the Schwarzschild singularity
• Real and complex connections for canonical gravity
• Black hole evaporation: A paradigm
• Quantum Transfiguration of Kruskal Black Holes
• Black hole fireworks: quantum-gravity effects outside the horizon spark black to white hole tunneling
• Loop quantum black hole
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• Loop quantization of the Schwarzschild interior revisited
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Quantum black holes in Loop Quantum Gravity
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• Effective Quantum Extended Spacetime of Polymer Schwarzschild Black Hole
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Quantum gravity predictions for black hole interior geometry
• Black hole collapse and bounce in effective loop quantum gravity
• (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
• Properties of a recent quantum extension of the Kruskal geometry
• On effective loop quantum geometry of Schwarzschild interior
• A no-go result for covariance in models of loop quantum gravity
• A Brief Introduction to Loop Quantum Cosmology
• Generalized boundary conditions for general relativity for the asymptotically flat case in terms of Ashtekar's variables
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Asymptotic non-flatness of an effective black hole model based on loop quantum gravity
• A note on the Hamiltonian as a polymerisation parameter
• Quantum self-gravitating collapsing matter in a quantum geometry
• Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution
• Two-time alternative to the Ashtekar-Olmedo-Singh black hole interior

Cited by in corpus (8)

• Loop quantum black hole
• Revisiting quantum black holes from effective loop quantum gravity
• Remnant loop quantum black holes
• On the horizon area of effective loop quantum black holes
• Mass of cosmological perturbations in the hybrid and dressed metric formalisms of Loop Quantum Cosmology for the Starobinsky and exponential potentials
• Symmetric black-to-white hole solutions with a cosmological constant
• Non-singular naked solutions in quantum spacetime
• Hamiltonian formalism, master functions and Darboux transformations for perturbed (interiors and exteriors of) nonrotating black holes