# Hawking Radiation of Extended Objects

## TL;DR

This paper investigates how the Hawking radiation spectrum and temperature are affected when the emitted particles are spatially extended objects, revealing an exponential suppression in emission power for large objects or small black holes.

## Contribution

It introduces a detailed analysis of the impact of object extension on Hawking radiation, providing numerical estimates of suppression effects.

## Key findings

- Power emission is exponentially suppressed for large objects or small black holes.
- The temperature of Hawking radiation remains unchanged despite the suppression.
- Numerical results quantify suppression as a function of object size and black hole mass.

## Abstract

We compute the effects on the temperature and precise spectrum of Hawking radiation from a Schwarzschild black hole when the emitted object is taken to be spatially extended. We find that in the low-momentum regime, the power emitted is exponentially suppressed for sufficiently large radiated objects, or sufficiently small black holes, though the temperature of emission is unchanged. We numerically determine the magnitude of this suppression as a function of the size and mass of the object and the black hole, and discuss the implications for various extended objects in nature.