Exact 4D black string in AdS with perfect fluid dark matter, metric modified by log term in α, horizons via Lambert W function, heat capacity diverges for α>0 suggesting phase transition where weak energy condition violated.
Vacuum polarization on topological black holes
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abstract
We investigate quantum effects on topological black hole space-times within the framework of quantum field theory on curved space-times. Considering a quantum scalar field, we extend a recent mode-sum regularization prescription for the computation of the renormalized vacuum polarization to asymptotically anti-de Sitter black holes with nonspherical event horizon topology. In particular, we calculate the vacuum polarization for a massless, conformally-coupled scalar field on a four-dimensional topological Schwarzschild-anti-de Sitter black hole background, comparing our results with those for a spherically-symmetric black hole.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Black string immersed in perfect fluid dark matter
Exact 4D black string in AdS with perfect fluid dark matter, metric modified by log term in α, horizons via Lambert W function, heat capacity diverges for α>0 suggesting phase transition where weak energy condition violated.