Boulware vacuum vs regularity: Thoughts on anomaly-induced effective action

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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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-04-17
DOI
https://doi.org/10.1103/physrevd.111.085024
Citations
2
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
2.31

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article

Boulware vacuum vs regularity: Thoughts on anomaly-induced effective action

Kazumasa Okabayashi, Shinji Mukohyama, Kota Numajiri
2 citations
Physical review. D/Physical review. D.
Cosmology and Gravitation Theories
2.31
article

Boulware vacuum vs regularity: Thoughts on anomaly-induced effective action

Kazumasa Okabayashi, Shinji Mukohyama, Kota Numajiri
article en
2 citations

Abstract

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.

Physical review. D/Physical review. D.Vol. 111(8)
Kavli Institute for the Physics and Mathematics of the Universe (JP), Kyoto University (JP), Instituto de Física Teórica (ES), Yukawa Institute for Theoretical Physics (JP), Nagoya University (JP), The University of Tokyo (JP)
Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science
Decent work and economic growth
Openalex Percentile: Top 12%
Cosmology and Gravitation Theories
2.31
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