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Motivated by the success of the recently proposed method of anomalycancellation to derive Hawking fluxes from black hole horizons of spacetimes invarious dimensions, we have further extended the covariant anomaly cancellationmethod shortly simplified by Banerjee and Kulkarni to explore the Hawkingradiation of the (3+1)-dimensional charged rotating black strings and theirhigher dimensional extensions in anti-de Sitter spacetimes, whose horizons arenot spherical but can be toroidal, cylindrical or planar, according to theirglobal identifications. It should be emphasized that our analysis presentedhere is very general in the sense that the determinant of the reduced(1+1)-dimensional effective metric from these black strings need not be equalto one $(\sqrt{-g} \neq 1)$. Our results indicate that the gauge and energymomentum fluxes needed to cancel the (1+1)-dimensional covariant gauge andgravitational anomalies are compatible with the Hawking fluxes. Besides,thermodynamics of these black strings are studied in the case of a variablecosmological constant.

Covariant anomalies and Hawking radiation from charged rotating black strings in anti-de Sitter spacetimes