The Fields of Ultra-Relativistic Gravitation

TL;DR

This paper introduces a decomposition of the gravitational field and its non-linear action to better understand weak ultra-relativistic and Planckian scattering, with broader applicability to non-degenerate spacetime fibers.

Contribution

It provides a new framework for analyzing ultra-relativistic gravitational interactions through a specific field decomposition and action formulation.

Findings

Decomposition simplifies the study of ultra-relativistic scattering.

Framework applies to any reduction over non-degenerate spacetime fibers.

Facilitates analysis of Planckian gravitational phenomena.

Abstract

In order to facilitate the study of weak ultra-relativistic (and Planckian) scattering we present an appropriate decomposition of the gravitational field together with its whole non-linear action. More generally the results apply to any reduction over a non-degenerate spacetime fiber.