# Gravitational waves emitted by a particle rotating around a Schwarzschild black hole: A semiclassical approach

## TL;DR

This paper investigates gravitational waves produced by a particle orbiting a Schwarzschild black hole using a semiclassical quantum field theory approach, providing insights into quantum effects in curved spacetime.

## Contribution

It introduces a gauge-invariant formalism for analyzing gravitational radiation in curved spacetime and compares quantum and classical radiation predictions.

## Key findings

- Quantum field theory approach yields gravitational wave predictions.
- Comparison shows differences between quantum and classical radiation.
- Formalism applicable to other curved spacetime scenarios.

## Abstract

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written in a gauge-invariant formalism for spherically symmetric spacetimes. We discuss the results, comparing them to the radiation emitted by a particle when it is assumed to be orbiting a massive object due to a Newtonian force in flat spacetime.