On the null surface formalism -- Formulation in three dimensions and gauge freedom

TL;DR

This paper explores the null surface formalism of general relativity in three dimensions, focusing on its formulation and the unique gauge freedom beyond standard diffeomorphisms.

Contribution

It introduces a formulation of the null surface formalism in three dimensions and discusses the specific gauge freedom involved.

Findings

Null surface formalism adapted to 3D GR

Identification of gauge freedom beyond diffeomorphisms

Foundational framework for further studies

Abstract

The null surface formalism of GR in three dimensions is presented, and the gauge freedom thereof, which is not just diffeomorphism, is discussed briefly.