Remarks on numerical relativity, geodesic motions, binary neutron star evolution

TL;DR

This paper discusses the conceptual aspects of numerical relativity using (3+1) decompositions, highlighting the importance of geodesic motions in modeling compact-star binaries.

Contribution

It provides a conceptual examination of (3+1) decomposition methods in numerical relativity and emphasizes the role of geodesic motions in binary neutron star evolution.

Findings

Highlights the significance of geodesic motions in binary star simulations

Examines the conceptual features of (3+1) decomposition in Einstein equations

Considers examples involving compact-star binaries

Abstract

The computations of numerical relativity make use of (3+1)- decompositions of Einstein field equations. We examine the conceptual characteristics of this method; instances of compact-star binaries are considered. The preeminent role of the geodesic motions is emphasized.