Dynamical evolution and stability of quantum corrected Schwarzschild black holes in semiclassical gravity
arXiv:2507.00109 · doi:10.1103/ms6s-92tx
Abstract
The Schwarzschild solution describes a classical static black hole in general relativity. When general relativity is extended by including semiclassical corrections in the form of a renormalized energy-momentum tensor, the horizon of the Schwarzschild black hole disappears and is replaced by a wormhole. We study the stability of this quantum corrected static Schwarzschild solution in semiclassical gravity by using it as the initial data of a dynamical evolution. We find that the quantum corrected solution is unstable and that the wormhole can expand or collapse when perturbed. In vacuum, the wormhole expands, but in the presence of even a small amount of classical matter, the wormhole collapses, forming a horizon and evolving to an evaporating black hole.
12 pages, 8 figures
References in corpus (21)
- Fate of the first traversible wormhole: black-hole collapse or inflationary expansion
- Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
- Traversable wormholes in Einstein-Dirac-Maxwell theory
- Traversable Wormholes in General Relativity
- Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
- The causal structure of dynamical charged black holes
- Passage of radiation through wormholes
- Formation and Evaporation of Charged Black Holes
- Semiclassical zero-temperature corrections to Schwarzschild spacetime and holography
- Internal structure of charged black holes
- The quantum fate of black hole horizons
- Static Black Holes With Back Reaction From Vacuum Energy
- Schwarzschild geometry counterpart in semiclassical gravity
- Static Black Hole and Vacuum Energy: Thin Shell and Incompressible Fluid
- Reissner-Nordström geometry counterpart in semiclassical gravity
- Two formalisms, one renormalized stress-energy tensor
- Are Einstein-Dirac-Maxwell wormholes traversable?
- Probing the connection between entangled particles and wormholes in general relativity
- Adaptive gauge method for long-time double-null simulations of spherical black-hole spacetimes
- Matter traveling through a wormhole
- Quantum corrected Einstein-Yang-Mills black holes in semiclassical gravity