articlePhysical review. D/Physical review. D.Apr 22, 2025Closed access

Black holes and covariance in effective quantum gravity

Friedrich-Alexander-Universität Erlangen-Nürnberg · Beijing Normal University · +2 more institutions

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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…

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46
total citations
FWCI
49.85
Percentile
100%
References
51
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Authors

4

Topics & keywords

Keywords
  • Covariance
  • Quantum gravity
  • Physics
  • Theoretical physics
  • Quantum
  • Statistical physics
  • Classical mechanics
  • Quantum mechanics
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