# A Classical Proof of the Classical Soft Graviton Theorem in D>4

## TL;DR

This paper provides a direct classical proof of the soft graviton theorem in higher-dimensional gravity theories, linking low-frequency gravitational radiation to scattering trajectories without relying on quantum limits.

## Contribution

It offers a novel, direct classical derivation of the soft graviton theorem in D>4, extending understanding beyond quantum or subleading order proofs.

## Key findings

- Validated the classical soft graviton theorem in higher dimensions.
- Connected gravitational radiation spectra to particle trajectories and spins.
- Extended the theorem's applicability to generic gravity-matter systems.

## Abstract

Classical soft graviton theorem gives an expression for the spectrum of low frequency gravitational radiation, emitted during a classical scattering process, in terms of the trajectories and spin angular momenta of ingoing and outgoing objects, including hard radiation. This has been proved to subleading order in the expansion in powers of frequency by taking the classical limit of the quantum soft graviton theorem. In this paper we give a direct proof of this result by analyzing the classical equations of motion of a generic theory of gravity coupled to interacting matter in space-time dimensions larger than four.