# A No-Boundary Method for Numerical Relativity

## TL;DR

This paper introduces a novel no-boundary approach for numerical relativity that eliminates the need for outer boundary conditions, demonstrated through a spherically symmetric scalar field model.

## Contribution

The paper presents a new boundaryless numerical relativity method, reducing boundary-related errors and simplifying simulations.

## Key findings

- Successfully implemented the no-boundary method for a scalar field
- Demonstrated the method's effectiveness without outer boundary conditions
- Potential for improved accuracy in numerical relativity simulations

## Abstract

We propose a method for numerical relativity in which the spatial grid is finite and no outer boundary condition is needed. As a "proof of concept" we implement this method for the case of a self-gravitating, spherically symmetric scalar field.