Symmetric black-to-white hole solutions with a cosmological constant

Abstract

For a system with a Hamiltonian constraint, we demonstrate that its dynamics is invariant under different choices of the lapse function, regardless of whether the Hamiltonian incorporates quantum corrections. Applying this observation to the interior of black-to-white holes, we analyze its dynamics with different choices of the lapse function. The results explicitly show that the leading-order expansion of both metrics proposed by Rovelli et al. (Class. Quant. Grav. \textbf{35}, 225003 (2018); Class. Quant. Grav. \textbf{35}, 215010 (2018)) and Ashtekar et al. (Phys. Rev. Lett. \textbf{121}, 241301 (2018); Phys. Rev. D \textbf{98}, 126003 (2018)) exhibit identical behavior near the transition surface. Therefore, in this sense the black-to-white hole model proposed by Rovelli et al., (Class. Quant. Grav. \textbf{35}, 225003 (2018); Class. Quant. Grav. \textbf{35}, 215010 (2018)) may be interpreted as a coarse-grained version of the solution within the framework of loop quantum gravity. The black-to-white hole solutions with exact symmetry between the black hole and white hole regions are constructed by appropriately fixing the quantum parameters in the effective theory of loop quantum gravity. This approach circumvents the issue of amplification of mass, which could arise from a mass difference between the black hole and white hole, and provides a way to link the solutions obtained by minisuperspace quantization to those in the covariant approach. Finally, the black-to-white hole solutions with a cosmological constant are constructed. The numerical solutions for the interior of the black-to-white hole with a cosmological constant are obtained, and their symmetric behavior is also discussed.

20 pages, 11 figure, 1 table

References in corpus (97)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Background Independent Quantum Gravity: A Status Report
• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Absence of Singularity in Loop Quantum Cosmology
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Construction of Regular Black Holes in General Relativity
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Quantum geometry and the Schwarzschild singularity
• Regular black holes with a nonlinear electrodynamics source
• Black-bounce to traversable wormhole
• Quantum Einstein Gravity
• Gravitational Test Beyond the First Post-Newtonian Order with the Shadow of the M87 Black Hole
• A Short Review of Loop Quantum Gravity
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Quantum Transfiguration of Kruskal Black Holes
• Loop quantum black hole
• Planck stars
• Black Holes in Modified Gravity (MOG)
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Regular black hole metrics and the weak energy condition
• Phenomenological aspects of black holes beyond general relativity
• White Holes as Remnants: A Surprising Scenario for the End of a Black Hole
• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Regular black holes: A short topic review
• Loop quantum gravity: an outside view
• Geodesically complete black holes
• Black Holes in Loop Quantum Gravity
• Loop quantization of the Schwarzschild interior revisited
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Tests of Loop Quantum Gravity from the Event Horizon Telescope Results of Sgr A${}^{\ast }$
• A black hole mass threshold from non-singular quantum gravitational collapse
• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Effective loop quantum gravity framework for vacuum spherically symmetric space-times
• Bardeen Regular Black Hole With an Electric Source
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• On the Effective Metric of a Planck Star
• Vaidya spacetimes, black-bounces, and traversable wormholes
• An effective model for the quantum Schwarzschild black hole
• Regular black holes with stable cores
• Planck star phenomenology
• Quantum gravity predictions for black hole interior geometry
• Singularities and the Finale of Black Hole Evaporation
• Black Hole evaporation: A Perspective from 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 the geometry of the black-to-white hole transition within a single asymptotic region
• Where does the physics of extreme gravitational collapse reside?
• Regular black holes in $f(G)$ gravity
• On effective loop quantum geometry of Schwarzschild interior
• Kantowski-Sachs spacetime in loop quantum cosmology: bounds on expansion and shear scalars and the viability of quantization
• Loop quantum Schwarzschild interior and black hole remnant
• Emergence of product of constant curvature spaces in loop quantum cosmology
• Black hole image encoding quantum gravity information
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Evaporating black-to-white hole
• Scalar Perturbations and Stability of a Loop Quantum Corrected Kruskal Black Hole
• Non-local (but also non-singular) physics at the last stages of gravitational collapse
• $(2+1)$-dimensional regular black holes with nonlinear electrodynamics sources
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• (Regular) Black holes in conformal Killing gravity coupled to nonlinear electrodynamics and scalar fields
• Nonsingular black holes in nonlinear gravity coupled to Euler-Heisenberg electrodynamics
• Wave functions for the Schwarschild black hole interior
• Loop quantum black hole
• Von-Neumann Stability and Singularity Resolution in Loop Quantized Schwarzschild Black Hole
• Regular black holes with sub-Planckian curvature
• Traversable wormholes in beyond Horndeski theories
• How Information Crosses Schwarzschild's Central Singularity
• The shadow of regular black holes with asymptotically Minkowski core
• Symmetries of the Black Hole Interior and Singularity Regularization
• Geodesically complete black holes in Lorentz-violating gravity
• Higher-order regularity in local and nonlocal quantum gravity
• Interior metric and ray-tracing map in the firework black-to-white hole transition
• Singularity resolution by holonomy corrections: Spherical charged black holes in cosmological backgrounds
• Effective four-dimensional loop quantum black hole with a cosmological constant
• Einstein-Gauss-Bonnet gravity with nonlinear electrodynamics
• Effective black-to-white hole bounces: The cost of surgery
• Black to white transition of a charged black hole
• New black-to-white hole solutions with improved geometry and energy conditions
• Regular Black Holes and Horizonless Ultra-Compact Objects in Lorentz-Violating Gravity
• A new model of regular black hole in $(2+1)$ dimensions
• Revisiting quantum black holes from effective loop quantum gravity
• Emergent modified gravity coupled to scalar matter
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• Static and radiating dyonic black holes coupled to conformally invariant electrodynamics in higher dimensions
• Space of solutions of the Ashtekar-Olmedo-Singh effective black hole model
• Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
• Spontaneous Radiation of Black Holes
• A new type of large-scale signature change in emergent modified gravity
• Astrophysical observables for regular black holes with sub-Planckian curvature
• Trouble with geodesics in black-to-white hole bouncing scenarios
• A new quantization scheme of black holes in effective loop quantum gravity

Cited by in corpus (4)

• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
• Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole