Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities

Abstract

Inspired by the recent proposal for the quantum effective dynamics of the Schwarzschild spacetime given in \cite{AOS1}, we investigate the effective dynamics of the loop quantized Janis-Newman-Winicour (JNW) spacetime which is an extension of the Schwarzschild spacetime with an extra minimally coupled massless scalar field. Two parameters are introduced in order to regularize the Hamiltonian constraint in the quantum effective dynamics. These two parameters are assumed to be Dirac observables when the effective dynamics is solved. By carefully choosing appropriate conditions for these two parameters, we completely determine them, and the resulted new effective description of the JNW spacetime leads to a well behaved quantum dynamics which on one hand resolves the classical singularities, and on the other hand, agrees with the classical dynamics in the low curvature region.

17 pages,3 figures, references added. v3, accepted by PRD

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Cited by in corpus (10)

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• The thermodynamics of isolated horizons in loop quantum gravity
• Symmetric black-to-white hole solutions with a cosmological constant
• Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term
• Particle Deflections around Microscopic Loop Quantum Black Holes with Rigorous Quantum Parameters
• Quantum Effective Dynamics of Papapetrou Spacetime
• Effective dynamics of Janis-Newman-Winicour spacetime