Effective dynamics of Janis-Newman-Winicour spacetime

Abstract

The effective dynamics of the Janis-Newman-Winicour spacetime inspired by loop quantum gravity is studied. Two different schemes are considered to regularize the Hamiltonian constraint for the quantum dynamics. In the ${\mu }_0$ scheme in which the quantum parameters are treated as constants, the equations of motion generated by the effective Hamiltonian are solved analytically. The resulting quantum-corrected effective spacetime obviously extends the effective spacetime previously obtained in the literature. In the new effective spacetime, the naked singularity and the central singularity presented in the classical JNW spacetime are resolved by a series of quantum bounces. In the scheme of choosing the quantum parameters as Dirac observables, the effective dynamics is also solved in the light of the solution in ${\mu }_0$ scheme. It turns out that the resulting effective spacetime has singularities due to the appearance of the zero points of the time reparametrization functions. Hence, the effective theory in this scheme does not remain valid throughout the full spacetime.

References in corpus (35)

• Background Independent Quantum Gravity: A Status Report
• Discreteness of area and volume in quantum gravity
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Robustness of key features of loop quantum cosmology
• Quantum geometry and the Schwarzschild singularity
• Real and complex connections for canonical gravity
• Fundamental Structure of Loop Quantum Gravity
• Loop quantum black hole
• Quantum Extension of the Kruskal Space-time
• Loop Quantum Dynamics of the Schwarzschild Interior
• Space-Time Structure of Loop Quantum Black Hole
• Physical effects of the Immirzi parameter
• Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
• Loop Quantum Cosmology: An Overview
• Janis-Newman-Winicour and Wyman solutions are the same
• Loop quantization of the Schwarzschild interior revisited
• A length operator for canonical quantum gravity
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Introduction to Loop Quantum Cosmology
• Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Quantum gravity predictions for black hole interior geometry
• New length operator for loop quantum gravity
• Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
• Acceleration of particles by Janis-Newman-Winicour singularities
• A note on the Hamiltonian as a polymerisation parameter
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Observational tests of the self-dual spacetime in loop quantum gravity
• Asymptotically de Sitter Universe inside a Schwarzschild black hole
• Understanding quantum black holes from quantum reduced loop gravity
• Nonexistence of quantum black and white hole horizons in an improved dynamic approach
• Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
• A new quantization scheme of black holes in effective loop quantum gravity