Boulware Vacuum vs. Regularity: Thoughts on Anomaly-Induced Effective Action
arXiv:2411.12617 · doi:10.1103/PhysRevD.111.085024
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.
19 pages, 15 figures. Version to appear in PRD