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Equivalence of the Hawking temperature in conformal frames

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abstract

The conformal invariance of the Hawking temperature, conjectured for the asymptotically flat and stationary black holes by Jacobson and Kang, is semiclassically evaluated for a simple particular case of symmetrical spherically and non asymptotically flat black hole. By using the Bogoliubov coefficients, the metric euclideanization, the reflection coefficient and the gravitational anomaly, as methods of calculating the Hawking temperature, we find that it is invariant under a specific conformal transformation of the metric. We discuss briefly the results for each method.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

The Unknown Face of Scalar-Tensor Gravitational Theories

gr-qc · 2025-03-17 · unverdicted · novelty 5.0

The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.

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  • The Unknown Face of Scalar-Tensor Gravitational Theories gr-qc · 2025-03-17 · unverdicted · none · ref 26 · internal anchor

    The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.