# Exact solutions and phenomenological constraints from massive scalars in a Gravity's Rainbow spacetime

## TL;DR

This paper derives exact solutions for massive scalar fields in a Gravity's Rainbow Schwarzschild spacetime, analyzes Hawking radiation with non-extensive statistics, and constrains rainbow parameters using experimental data.

## Contribution

It provides exact confluent Heun solutions for scalar fields in Gravity's Rainbow and links theoretical predictions with experimental constraints.

## Key findings

- Hawking radiation spectrum follows non-extensive statistics.
- Emission halts at a certain mass remnant.
- Constraints on rainbow parameters from LHC and Hubble data.

## Abstract

We obtain the exact (confluent Heun) solutions to the massive scalar field in a Gravity's Rainbow Schwarzschild metric. With these solutions at hand, we study the Hawking radiation resulting from the tunneling rate through the event horizon. We show that the emission spectrum obeys non-extensive statistics and is halted when a certain mass remnant is reached. Next, we infer constraints on the rainbow parameters from recent LHC particle physics experiments and Hubble STIS astrophysics measurements. Finally, we study the low frequency limit in order to find the modified energy spectrum around the source.