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• W3100848325 abstract "The second-order term of the approximate stress–energy tensor of the quantized massive scalar field in the Bertotti–Robinson and Reissner–Nordström spacetimes is constructed within the framework of the Schwinger–DeWitt method. It is shown that although the Bertotti–Robinson geometry is a self-consistent solution of the (Λ = 0) semiclassical Einstein field equations with the source term given by the leading term of the renormalized stress–energy tensor, it does not remain so when the next-to-leading term is taken into account and requires the introduction of a cosmological term. The addition of the electric charge to the system does not change this behavior. The near horizon geometry of the extreme quantum-corrected Reissner–Nordström black hole is analyzed. It has the AdS 2 ×S 2 topology and the sum of the curvature radii of the two-dimensional submanifolds is proportional to the trace of the second-order term. It suggests that the minimal approximation should be constructed from the first two terms of the Schwinger–DeWitt expansion" @default.
• W3100848325 created "2020-11-23" @default.
• W3100848325 creator A5008336164 @default.
• W3100848325 creator A5039128268 @default.
• W3100848325 date "2009-10-10" @default.
• W3100848325 modified "2023-09-26" @default.
• W3100848325 title "AdS2×S2 GEOMETRIES AND THE EXTREME QUANTUM-CORRECTED BLACK HOLES" @default.
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• W3100848325 doi "https://doi.org/10.1142/s0217732309031910" @default.
• W3100848325 hasPublicationYear "2009" @default.
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