Black holes and covariance in effective quantum gravity

2024/07/31 by Cong Zhang, Jerzy Lewandowski, Yongge Ma +1 · 49 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariance #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Statistical physics #Statistics #Theoretical physics

paper · doi:10.1103/physrevd.111.l081504

published in Physical review. D/Physical review. D. 111(8) (American Physical Society)

openalex publication_date 2025/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The longstanding issue of general covariance in effective models of quantum gravity is addressed, which arises when canonical quantum gravity leads to a semiclassical model described by an effective Hamiltonian constraint. In the context of spherically symmetric models, general covariance is precisely formulated into a set of equations, leading to the necessary and sufficient conditions for ensuring covariance. With the aid of these conditions, we derive the equations for the effective Hamiltonian constraint. The equations yield two candidates for effective Hamiltonian constraints dependent on a quantum parameter. The resulting quantum modified black hole spacetimes are analyzed. Our models show improvement by casting off the known limitations of previous works with similar results.

Citations

• Covariant μ¯-scheme effective dynamics, mimetic gravity, and nonsingular black holes: Applications to spherically symmetric quantum gravity
• On Continued Gravitational Contraction

Cited by

• Evaporation and fate of covariant quantum black holes
• Non-singular cosmologies matching regular black holes
• Entanglement degradation of static black holes in effective quantum gravity
• Spin precession in the strong deflection limit
• Information paradox and island of covariant black holes in LQG
• Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk
• Cyclic Kruskal Universe: a quantum-corrected Schwarzschild black hole in unitary unimodular gravity
• Quasinormal modes and tidal Love numbers of covariant effective quantum black holes with cosmological constant
• Analytic and Numerical Constraints on QPOs in EHT and XRB Sources Using Quantum-Corrected Black Holes
• Correction to Hawking radiation in non-singular gravitational collapse
• Big bounce and black bounce in quasi-topological gravity
• Can the latent signatures of quantum superposition be detected through correlation harvesting?
• Quantum Effective Dynamics of Papapetrou Spacetime
• Dust shell in effective loop quantum black hole model
• Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes

Related

• Black holes and covariance in effective quantum gravity: A solution without Cauchy horizons
• Covariant effective spacetimes of spherically symmetric electrovacuum with a cosmological constant
• Deformed Hamilton-Jacobi Method in Covariant Quantum Gravity Effective Models
• Covariant μ-scheme effective dynamics, mimetic gravity, and non-singular black holes: Applications to spherical symmetric quantum gravity and CGHS model
• Black holes in effective loop quantum gravity: Covariant holonomy modifications