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

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arxiv 2411.12617 v2 pith:KWVFFLD4 submitted 2024-11-19 gr-qc hep-th

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

Kota Numajiri , Kazumasa Okabayashi , Shinji Mukohyama This is my paper
classification gr-qc hep-th
keywords vacuumrsetspacetimestateactionanomaly-inducedboulwareeffective
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We examine the vacuum state and its corresponding renormalized stress-energy tensor (RSET) in static horizonless regular spacetime in both two and four dimensions. Using the local field formulation of the anomaly-induced effective action, we show that the regularities of the spacetime and the RSET dictate the appropriate vacuum state. Furthermore, through a case study under the horizonless Bardeen-type spacetime, we demonstrate that the preferred vacuum state is not the Boulware vacuum, but a nontrivial one with a different RSET profile.

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Cited by 4 Pith papers

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