Perturbed Einstein field equations using Maple
M. de Campos
TL;DR
This paper demonstrates how to derive perturbed Einstein field equations using algebraic computation with Maple, enabling analysis of gravitational perturbations in vacuum and higher-order cases.
Contribution
It introduces a method to compute perturbed Einstein equations algebraically with Maple, including higher-order perturbations.
Findings
Perturbed components of affine connection and Ricci tensor are obtained.
Perturbed Einstein equations for vacuum are formulated.
Method can be extended to higher-order perturbations.
Abstract
We obtain the perturbed components of affine connection and Ricci tensor using algebraic computation. Naturally, the perturbed Einstein field equations for the vacuum can be written. The method can be used to obtain perturbed equations of the superior order.
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Taxonomy
TopicsGeophysics and Gravity Measurements · Experimental and Theoretical Physics Studies · Computational Physics and Python Applications