Covariant Anomaly and Hawking Radiation from Kerr–Newman Black Hole in Dragging Coordinates Frame

Abstract

In the light of Robinson and Wilczek's new idea, and motivated by Banerjee and Kulkarni's simplified method of using only the covariant anomaly to derive Hawking radiation from a black hole, we generally extend the work to Kerr–Newman black hole in dragging coordinates frame. It is shown that the flows introduced to cancel the anomaly at the event horizon are equal to the corresponding Hawking radiation in dragging coordinates frame, which supports and extends Robinson and Wilczek's opinion.

Spectrum Density Factor of Photons and Its Application in the Casimir Force

“…[10] Recently, renewed attention has been focused on the Casimir effects branching out in various fields ranging from nanoscopic physics, [11] cold atomic physics [12−13] due to their unprecedented tunability and controllability in almost all aspects of the system parameters, [14−15] to solid state physics [16−18] and cavity system. [19] Originally derived by using the quantum-mechanical perturbation theory to fourth order in e, [20] the Casimir force, in the standard approach, is obtained by computing the change in the zero-point energy per unit area of the electromagnetic field E when the separation between perfectly paralleled conducting plates is changed, that is, F c = −∂E/∂a. This derivation is mathematically much simpler.…”

Casimir Force of Piston Systems with Arbitrary Cross Sections under Different Boundary Conditions

“…For system size 𝐿 ≫ Λ −1 , the Λ-dependent parts of 𝐹 (𝑑) (𝐿, 𝑚) are the corrections to the Λ-independent leading part [26] . In the following we take the infinite cut-off limit Λ → ∞.…”

“…In the limit Λ → ∞, the Casimir force can also be calculated by the derivative of the Casimir energy as [26] 𝐹 (𝑑)…”