On computations of angular momentum and its flux in numerical relativity
Emanuel Gallo, Luis Lehner, Osvaldo M. Moreschi
TL;DR
This paper highlights ambiguities and potential errors in computing angular momentum and its flux in numerical relativity, demonstrating how simple formulas can lead to incorrect results through illustrative examples.
Contribution
It identifies common pitfalls and clarifies the limitations of standard formulas used in angular momentum calculations in numerical relativity.
Findings
Incorrect results can arise from naive formula application
Illustrative examples show potential errors in calculations
Discussion of error magnitudes in typical scenarios
Abstract
The purpose of this note is to point out ambiguities that appear in the calculation of angular momentum and its radiated counterpart when some simple formulae are used to compute them. We illustrate, in two simple different examples, how incorrect results can be obtained with them. Additionally, we discuss the magnitude of possible errors in well known situations.
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