# Orbits in a stochastic Schwarzschild geometry

## TL;DR

This paper investigates how stochastic variations in black hole mass, modeled by a Gaussian distribution, affect geodesic motion in Schwarzschild space-time, exploring potential quantum effects and measurement uncertainties.

## Contribution

It introduces a probabilistic approach to Schwarzschild geodesics by incorporating mass uncertainties, a novel step towards understanding quantum effects in black hole physics.

## Key findings

- Mass uncertainty influences geodesic trajectories.
- Potential implications for quantum black hole effects.
- Highlights measurement uncertainties in black hole parameters.

## Abstract

We study geodesics in the Schwarzschild space-time affected by an uncertainty in the mass parameter described by a Gaussian distribution. This study could serve as a first attempt at investigating possible quantum effects of black hole space-times on the motion of matter in their surroundings as well as the role of uncertainties in the measurement of the black hole parameters.