Radiation equations for black holes
G. A. Vilkovisky (Lebedev Institute)
TL;DR
This paper derives closed equations linking the metric and Bondi charges in black hole spacetimes, revealing a nonzero vacuum-induced matter flux, advancing understanding of semiclassical black hole dynamics.
Contribution
It introduces a method to express Bondi charges directly through the metric by calculating vacuum radiation, providing new closed equations for black hole metrics.
Findings
Closed equations for metric and Bondi charges derived
Nonvanishing vacuum-induced matter flux identified
Enhanced understanding of semiclassical black hole behavior
Abstract
It has been shown in the previous paper that the metric in the semiclassical region of the collapse spacetime is expressed purely kinematically through the Bondi charges. Here the Bondi charges are expressed through this metric by calculating the vacuum radiation against its background. The result is closed equations for the metric and the Bondi charges. Notably, there is a nonvanishing flux of the vacuum-induced matter charge.
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