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arXiv · 2603.13120

On Radiative Fluxes and Coulombic Charges in the Balance Law for Black Hole Evaporation

Eugenio Bianchi·Daniel E. Paraizo
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Abstract

In asymptotically-flat spacetimes, there is a clear distinction between radiative fluxes and Coulombic charges, and their relation is encoded in balance laws. In this paper, we first identify at the classical level the radiative energy flux for a minimally-coupled massless scalar field in 3+1 dimensions, and then investigate the balance law for the Bondi mass in black hole evaporation. In the usual spherically-symmetric model, the semiclassical balance law for the radiative flux implies that the Bondi mass receives a quantum correction which depends on the entanglement entropy of the Hawking radiation. Furthermore, the renormalized expectation value of the radiative flux turns out to be manifestly positive and does not coincide with the standard Fulling-Davies formula. We clarify the relation of this result to the Ashtekar-Taveras-Varadarajan proposal for 2d dilatonic black holes, and discuss its implications for black hole evaporation in 3+1 dimensions.

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Eugenio Bianchi, Daniel E. Paraizo. 2026-03-13. On Radiative Fluxes and Coulombic Charges in the Balance Law for Black Hole Evaporation. https://arxiv.org/abs/2603.13120

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