# Total spectral distributions from Hawking radiation

## TL;DR

This paper calculates the total spectral distributions of Hawking radiation considering black hole evaporation dynamics, providing a more complete picture than initial blackbody approximations.

## Contribution

It introduces explicit calculations of total spectral distributions accounting for black hole evaporation and temperature changes, advancing previous static models.

## Key findings

- Total spectral distributions differ significantly from initial blackbody spectra.
- Time-dependent effects reduce the total emitted energy and particle count.
- Results improve understanding of black hole evaporation processes.

## Abstract

Taking into account time-dependence of the Hawking temperature and finite evaporation time of the black hole, total spectral distributions of the radiant energy and of the number of particles have been explicitly calculated and compared to their temporary (initial) blackbody counterparts (spectral exitances).