Robust evolution system for Numerical Relativity
A. Arbona, C. Bona, J. Masso, J. Stela
TL;DR
This paper introduces a robust evolution system for Numerical Relativity that integrates theoretical and practical approaches, providing a stable 3D numerical code capable of long-term black hole simulations.
Contribution
It presents new numerical methods that prevent gauge pathologies, enabling stable and extended 3D black hole evolutions in Numerical Relativity.
Findings
Stable evolution of Schwarzschild black hole for over 100 black hole masses
New numerical ingredients prevent gauge pathologies
Demonstrates robustness of the proposed evolution system
Abstract
The paper combines theoretical and applied ideas which have been previously considered separately into a single set of evolution equations for Numerical Relativity. New numerical ingredients are presented which avoid gauge pathologies and allow one to perform robust 3D calculations. The potential of the resulting numerical code is demonstrated by using the Schwarzschild black hole as a test-bed. Its evolution can be followed up to times greater than one hundred black hole masses.
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