A brief review of Regge calculus in classical numerical relativity

TL;DR

This paper reviews the use of Regge calculus in classical numerical relativity, highlighting past successes and future directions, including initial data construction for black hole collisions and continuum limit efficacy.

Contribution

It provides a concise overview of Regge calculus applications in numerical relativity and proposes a future research program for the field.

Findings

Successful initial data construction for black hole collisions

Regge calculus shows promise in the continuum limit

Future development directions outlined

Abstract

We briefly review past applications of Regge calculus in classical numerical relativity, and then outline a programme for the future development of the field. We briefly describe the success of lattice gravity in constructing initial data for the head-on collision of equal mass black holes, and discuss recent results on the efficacy of Regge calculus in the continuum limit.