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The well-known superradiant amplification mechanism allows a charged scalar field of proper mass $\mu$ and electric charge $q$ to extract the Coulomb energy of a charged Reissner-Nordstr\"om black hole.
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We use natural units in which G = c = ℏ = 1 G=c=\hbar=1
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That is, in the regime of test (linearized) charged scalar fields propagating on the background of the charged RN black-hole spacetime
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Here r r is the Schwarzschild areal coordinate
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It is worth noting that the physical parameters μ \mu and q q of the charged massive scalar field stand respectively for μ / ℏ \mu/\hbar and q / ℏ q/\hbar . Hence, these field parameters have the dimensions of ( ( length OPEN ) − 1 )^{-1}
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We shall assume, without loss of generality, that q > 0 q>0 and Q > 0 Q>0
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