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Two formalisms, one renormalized stress-energy tensor

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arxiv 1112.0489 v2 pith:O3K6CWO2 submitted 2011-12-02 gr-qc

Carlos Barceló , Raúl Carballo , Luis J. Garay This is my paper · ORCID
classification gr-qc
keywords differentformalismsfieldobtainedrelatedrenormalizedrsetstress-energy
verification ladder T0 review T1 audit T2 compute T3 formal
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We explicitly compare the structure of the renormalized stress-energy tensor (RSET) of a massless scalar field in a (1+1) curved spacetime as obtained by two different strategies: normal-mode construction of the field operator and one-loop effective action. We pay special attention to where and how it is encoded the information related to the choice of vacuum state in both formalisms. By establishing a clear translation map between both procedures, we show that these two potentially different RSET are actually equal, when using vacuum-state choices related by this map. One specific aim of the analysis is to facilitate the comparison of results regarding semiclassical effects in gravitational collapse as obtained within these different formalisms.

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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. Semiclassical regularity of compact trapped regions: From dynamical horizons to inner extremality

    gr-qc 2026-07 conditional novelty 7.0 of 10

    In finite-lifetime dynamical geometries the in-vacuum RSET stays finite at the inner horizon, growing exponentially for non-extremal cases but only as a power law for inner-extremal ones.

  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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