Stable evolution of a maximally sliced Schwarzschild spacetime using a smooth lattice

TL;DR

This paper demonstrates a long-term stable numerical evolution of a Schwarzschild black hole using a smooth lattice approach, achieving stability up to a large time scale.

Contribution

It introduces a smooth lattice method that enables stable evolution of a maximally sliced Schwarzschild spacetime over extended periods.

Findings

Stable evolution up to t=1000m achieved

Smooth lattice method effectively models black hole spacetime

Long-term stability demonstrated in numerical simulations

Abstract

We will present results of a long term stable evolution, to $t=1000m$, of a maximally sliced Schwarzschild blackhole using a smooth lattice method.