A proposed exact black hole solution in an empirical dark matter halo of NGC 4649 is internally inconsistent: the claimed metric does not satisfy the paper's own field equation for F(r).
Hawking radiation from dilatonic black holes via anomalies
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abstract
Recently, Hawking radiation from a Schwarzschild-type black hole via gravitational anomaly at the horizon has been derived by Robinson and Wilczek. Their result shows that, in order to demand general coordinate covariance at the quantum level to hold in the effective theory, the flux of the energy momentum tensor required to cancel gravitational anomaly at the horizon of the black hole, is exactly equal to that of (1+1)-dimensional blackbody radiation at the Hawking temperature. In this paper, we attempt to apply the analysis to derive Hawking radiation from the event horizons of static, spherically symmetric dilatonic black holes with arbitrarily coupling constant $\alpha$, and that from the rotating Kaluza-Klein $(\alpha = \sqrt{3})$ as well as the Kerr-Sen ($\alpha = 1$) black holes via an anomalous point of view. Our results support Robinson-Wilczek's opinion. In addition, the properties of the obtained physical quantities near the extreme limit are qualitatively discussed.
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gr-qc 1years
2025 1verdicts
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Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60)
A proposed exact black hole solution in an empirical dark matter halo of NGC 4649 is internally inconsistent: the claimed metric does not satisfy the paper's own field equation for F(r).