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Effective dynamics of Janis-Newman-Winicour spacetime
Phys. Rev. D 113, 084063 – Published 29 April, 2026
DOI: https://doi.org/10.1103/141f-9df5
Abstract
The effective dynamics of the Janis-Newman-Winicour (JNW) spacetime inspired by loop quantum gravity is studied. Two different schemes are considered to regularize the Hamiltonian constraint for the quantum dynamics. In the 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 are also solved in the light of the solution in the 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.
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References (50)
- R. Penrose, Gravitational collapse and space-time singularities, Phys. Rev. Lett. 14, 57 (1965).
- S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 2023).
- R. M. Wald, General Relativity (University of Chicago Press, Chicago, 2010).
- A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A status report, Classical Quantum Gravity 21, R53 (2004).
- C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, England, 2004).
- M. Han, Y. Ma, and W. Huang, Fundamental structure of loop quantum gravity, Int. J. Mod. Phys. D 16, 1397 (2007).
- T. Thiemann, Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, England, 2008).
- C. Rovelli and L. Smolin, Discreteness of area and volume in quantum gravity, Nucl. Phys. B442, 593 (1995).
- A. Ashtekar and J. Lewandowski, Quantum theory of geometry II: Volume operators, Adv. Theor. Math. Phys. 1, 388 (1998).
- T. Thiemann, A length operator for canonical quantum gravity, J. Math. Phys. (N.Y.) 39, 3372 (1998).
- Y. Ma, C. Soo, and J. Yang, New length operator for loop quantum gravity, Phys. Rev. D 81, 124026 (2010).
- A. Ashtekar, M. Bojowald, and J. Lewandowski, Mathematical structure of loop quantum cosmology, Adv. Theor. Math. Phys. 7, 233 (2003).
- M. Bojowald, Loop quantum cosmology, Living Rev. Relativity 11, 4 (2008).
- A. Ashtekar, Loop quantum cosmology: An overview, Gen. Relativ. Gravit. 41, 707 (2009).
- A. Ashtekar and P. Singh, Loop quantum cosmology: A status report, Classical Quantum Gravity 28, 213001 (2011).
- K. Banerjee, G. Calcagni, and M. Martin-Benito, Introduction to loop quantum cosmology, SIGMA 8, 016 (2012).
- A. Ashtekar, T. Pawlowski, and P. Singh, Quantum nature of the big bang: An analytical and numerical investigation, Phys. Rev. D 73, 124038 (2006).
- A. Ashtekar, T. Pawlowski, and P. Singh, Quantum nature of the big bang: Improved dynamics, Phys. Rev. D 74, 084003 (2006).
- A. Ashtekar, A. Corichi, and P. Singh, Robustness of key features of loop quantum cosmology, Phys. Rev. D 77, 024046 (2008).
- J. Yang, Y. Ding, and Y. Ma, Alternative quantization of the Hamiltonian in loop quantum cosmology, Phys. Lett. B 682, 1 (2009).
- B. F. Li and P. Singh, Loop quantum cosmology: Physics of singularity resolution and its implications, Handbook of Quantum Gravity (Springer Nature, Singapore, 2023), pp. 1–55.
- I. Agullo, A. Wang, and E. Wilson-Ewing, Loop quantum cosmology: Relation between theory and observations, Handbook of Quantum Gravity (Springer Nature, Singapore, 2023), pp. 1–46.
- A. Ashtekar and M. Bojowald, Quantum geometry and the Schwarzschild singularity, Classical Quantum Gravity 23, 391 (2006).
- L. Modesto, Loop quantum black hole, Classical Quantum Gravity 23, 5587 (2006).
- C. G. Boehmer and K. Vandersloot, Loop quantum dynamics of the Schwarzschild interior, Phys. Rev. D 76, 104030 (2007).
- D. W. Chiou, Phenomenological loop quantum geometry of the Schwarzschild black hole, Phys. Rev. D 78, 064040 (2008).
- A. Corichi and P. Singh, Loop quantization of the Schwarzschild interior revisited, Classical Quantum Gravity 33, 055006 (2016).
- J. Olmedo, S. Saini, and P. Singh, From black holes to white holes: A quantum gravitational, symmetric bounce, Classical Quantum Gravity 34, 225011 (2017).
- A. Ashtekar, J. Olmedo, and P. Singh, Quantum extension of the Kruskal spacetime, Phys. Rev. D 98, 126003 (2018).
- N. Bodendorfer, F. M. Mele, and J. Münch, A note on the Hamiltonian as a polymerisation parameter, Classical Quantum Gravity 36, 187001 (2019).
- W. C. Gan, X. M. Kuang, Z. H. Yang, Y. Gong, A. Wang, and B. Wang, Nonexistence of quantum black and white hole horizons in an improved dynamic approach, Sci. China Phys. Mech. Astron. 67, 280411 (2024).
- E. Alesci, S. Bahrami, and D. Pranzetti, Quantum gravity predictions for black hole interior geometry, Phys. Lett. B 797, 134908 (2019).
- E. Alesci, S. Bahrami, and D. Pranzetti, Asymptotically de Sitter universe inside a Schwarzschild black hole, Phys. Rev. D 102, 066010 (2020).
- W. C. Gan, G. Ongole, E. Alesci, Y. An, F.-W. Shu, and A. Wang, Understanding quantum black holes from quantum reduced loop gravity, Phys. Rev. D 106, 126013 (2022).
- L. Modesto, Semiclassical loop quantum black hole, Int. J. Theor. Phys. 49, 1649 (2010).
- J. M. Yan, Q. Wu, C. Liu, T. Zhu, and A. Wang, Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the galactic center, J. Cosmol. Astropart. Phys. 09 (2022) 008.
- C. Liu, T. Zhu, Q. Wu, K. Jusufi, M. Jamil, M. Azreg-Aïnou, and A. Wang, Shadow and quasinormal modes of a rotating loop quantum black hole, Phys. Rev. D 101, 084001 (2020).
- T. Zhu and A. Wang, Observational tests of the self-dual spacetime in loop quantum gravity, Phys. Rev. D 102, 124042 (2020).
- G. Ongole, H. Zhang, T. Zhu, A. Wang, and B. Wang, Dirac observables in the 4-dimensional phase space of Ashtekar’s variables and spherically symmetric loop quantum black holes, Universe 8, 543 (2022).
- A. I. Janis, E. T. Newman, and J. Winicour, Reality of the Schwarzschild singularity, Phys. Rev. Lett. 20, 878 (1968).
- K. S. Virbhadra, Janis–Newman–Winicour and Wyman solutions are the same, Int. J. Mod. Phys. A 12, 4831 (1997).
- K. S. Virbhadra and G. F. R. Ellis, Gravitational lensing by naked singularities, Phys. Rev. D 65, 103004 (2002).
- M. Patil and P. S. Joshi, Acceleration of particles by Janis-Newman-Winicour singularities, Phys. Rev. D 85, 104014 (2012).
- D. W. Chiou, Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime, Phys. Rev. D 78, 044019 (2008).
- C. Zhang and X. Zhang, Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities, Phys. Rev. D 101, 086002 (2020).
- A. Ashtekar, New Hamiltonian formulation of general relativity, Phys. Rev. D 36, 1587 (1987).
- J. F. Barbero, Real Ashtekar variables for Lorentzian signature space-times, arXiv:gr-qc/9410014.
- G. Immirzi, Real and complex connections for canonical gravity, Classical Quantum Gravity 14, L177 (1997).
- A. Perez and C. Rovelli, Physical effects of the Immirzi parameter in loop quantum gravity, Phys. Rev. D 73, 044013 (2006).
- W. C. Gan and A. Wang, New quantization scheme of black holes in effective loop quantum gravity, Phys. Rev. D 111, 026017 (2025).