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$<T^{\mu}_{\nu}>_{ren}$ of the quantized fields in the Unruh state in the Schwarzschild spacetime

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arxiv gr-qc/9808019 v1 pith:YBF3XTEM submitted 1998-08-06 gr-qc

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keywords fieldsschwarzschildspacetimestateunruhachievedanalysedapproximations
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The renormalized expectation value of the stress energy tensor of the conformally invariant massless fields in the Unruh state in the Schwarzschild spacetime is constructed. It is achieved through solving the conservation equation in conformal space and utilizing the regularity conditions in the physical metric. The relations of obtained results to the existing approximations are analysed.

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  1. Black holes in f(R) theory of gravity with compact extra dimensions

    gr-qc 2026-07 conditional novelty 5.0 of 10

    In D=4+n f(R) gravity with a constant-radius extra n-sphere, vacuum polarization of nonminimally coupled fields yields an asymptotically flat 4D Schwarzschild solution whose extra-radius is set by the quantum stress-t...

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