3 papers
gr-qc2026
Vacuum polarization and renormalized stress-energy tensor of spherical thin shells
Julio Arrechea, Cormac Breen, Adrian Ottewill +2
We provide a thorough study of the properties of the Boulware vacuum in the spacetime of a spherical, static thin shell with a Minkowski interior. To this end, we calculate the ren…
math.NA2026
Maximum Entropy Least Squares Solutions of Overdetermined Linear Systems
Felice Iavernaro, Monica Lazzo, Lorenzo Pisani
We investigate the theoretical foundations of a recently introduced entropy-based formulation of weighted least squares for the approximation of overdetermined linear systems, moti…
gr-qc2025
The renormalized stress-energy tensor for scalar fields in the Boulware state with applications to extremal black holes
Julio Arrechea, Cormac Breen, Adrian Ottewill +2
We provide a mode-sum prescription to directly compute the renormalized stress-energy tensor (RSET) for scalar fields in the Boulware vacuum. The method generalizes the recently de…