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Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions

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arxiv hep-th/9904162 v2 pith:7B6B46PA submitted 1999-04-26 hep-th gr-qc

classification hep-thgr-qc
keywords actionsanomalyeffectiveschwarzschildspace-timestatesauxiliaryboulware
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace anomaly. The actions are made local by the introduction of auxiliary fields and boundary conditions are carefully imposed on them in order to select the different quantum states.

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Cited by 6 Pith papers

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

  1. Conformally Invariant Corrections to the Anomaly-Induced Effective Action and Black Hole Evaporation in Four Dimensions

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Conformally invariant corrections to the anomaly-induced effective action produce a one-parameter family of quantum hair for Schwarzschild black holes that modifies the near-horizon stress tensor in a static approximation.

  2. 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.

  3. Inner horizon instability via the trace anomaly effective action

    gr-qc 2024-11 conditional novelty 6.0 of 10

    The anomaly-induced effective action can reproduce the Hartle-Hawking stress-energy divergence at the Cauchy horizon of Reissner-Nordström, but lacks enough freedom to describe the Unruh state.

  4. Boulware Vacuum vs. Regularity: Thoughts on Anomaly-Induced Effective Action

    gr-qc 2024-11 conditional novelty 6.0 of 10

    In four-dimensional horizonless Bardeen-type spacetimes, the anomaly-induced effective action, combined with central regularity of the renormalized stress-energy tensor, selects a non-Boulware vacuum with a linearly g...

  5. Wald-like entropy and Islands in Dimensionally Reduced Einstein-Hilbert Gravity

    hep-th 2026-07 conditional novelty 4.0 of 10

    Wald-like Noether charge of the DREH plus Polyakov-Liouville action yields the island generalized entropy and unitary Page curves for eternal and quasi-stationary evaporating black holes.

  6. Hawking radiation from a semi-classical Schwarzschild black hole

    hep-th 2026-05 unverdicted novelty 3.0 of 10

    Quantum corrections to Schwarzschild black hole evaporation produce a maximum temperature, radiation cessation, an extremal remnant, and logarithmic entropy correction.

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