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Schwarzschild geometry counterpart in semiclassical gravity

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arxiv 1911.03213 v2 pith:TVEGIWZF submitted 2019-11-08 gr-qc hep-th

Julio Arrechea , Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay This is my paper · ORCID
classification gr-qchep-th
keywords rsetvacuumpolyakovregionregularizedsemiclassicalcounterpartfield
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abstract

We investigate the effects of vacuum polarization on vacuum static spherically-symmetric spacetimes. We start from the Polyakov approximation to the renormalized stress-energy tensor (RSET) of a minimally coupled massless scalar field. This RSET is not regular at $r=0$, so we define a regularized version of the Polyakov RSET. Using this Regularized RSET, and under the previous symmetry assumptions, we find all the solutions to the semiclassical field equations in vacuum. The resulting counterpart to the Schwarzschild classical geometry substitutes the presence of an event horizon by a wormhole throat that connects an external asymptotically flat region with an internal asymptotic region possessing a naked singularity: there are no semiclassical vacuum solutions with well-defined Cauchy surfaces. We also show that the Regularized Polyakov RSET allows for wormhole geometries of arbitrarily small throat radius. This analysis paves the way to future investigations of proper stellar configurations with an internal non-vacuum region.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Macroscopic backreaction of the trace anomaly on classical vacuum backgrounds

    gr-qc 2025-12 conditional novelty 6.0 of 10

    Order-reduced backreaction of the trace-anomaly RSET on Schwarzschild gives a naked singularity without compensatory terms and a wormhole throat with them.

  2. Dynamical evolution and stability of quantum corrected Schwarzschild black holes in semiclassical gravity

    gr-qc 2025-06 conditional novelty 6.0 of 10

    The static quantum corrected Schwarzschild wormhole is dynamically unstable: it expands in vacuum and collapses into an evaporating black hole when a small amount of matter is present.

  3. Quantum corrected Einstein-Yang-Mills black holes in semiclassical gravity

    gr-qc 2025-02 conditional novelty 6.0 of 10

    Quantum vacuum backreaction in the Polyakov approximation removes the classical horizon from Einstein-Yang-Mills black holes, replacing it with a wormhole for large horizons and a compact horizonless object for small ones.

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