# Higher curvature self-interaction corrections to Hawking Radiation

## TL;DR

This paper investigates whether higher curvature corrections in gravity theories introduce correlations in Hawking radiation, finding that such corrections do not produce correlations and thus do not resolve the information paradox within semi-classical gravity.

## Contribution

It extends previous analyses by including Einstein-Gauss-Bonnet gravity to examine potential correlations in Hawking radiation, showing no new correlations arise.

## Key findings

- Hawking radiation remains non-correlated even with higher curvature corrections
- Higher curvature terms do not alter the thermal nature of Hawking radiation
- Semi-classical gravity alone cannot resolve the black hole information paradox

## Abstract

The purely thermal nature of Hawking radiation from evaporating black holes leads to the information loss paradox. A possible route to its resolution could be if (enough) correlations are shown to be present in the radiation emitted from evaporating black holes. A re-analysis of Hawking's derivation including the effects of self-interactions in GR shows that the emitted radiation does deviate from pure thermality, however, no correlations exist between successively emitted Hawking quanta. We extend the calculations to Einstein-Gauss-Bonnet gravity and investigate if higher curvature corrections to the action lead to some new correlations in the Hawking spectra. The effective trajectory of a massless shell is determined by solving the constraint equations and the semi-classical tunneling probability is calculated. As in the case of general relativity, the radiation is no longer thermal and there is no correlation between successive emissions. The absence of any extra correlations in the emitted radiations even in Gauss-Bonnet gravity suggests that the resolution of the paradox is beyond the scope of semi-classical gravity.