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Tendex and vortex fields, defined by the eigenvectors and eigenvalues of theelectric and magnetic parts of the Weyl curvature tensor, form the basis of arecently developed approach to visualizing spacetime curvature. In particular,this method has been proposed as a tool for interpreting results from numericalbinary black hole simulations, providing a deeper insight into the physicalprocesses governing the merger of black holes and the emission of gravitationalradiation. Here we apply this approach to approximate but analytical initialdata for both single boosted and binary black holes. These perturbative databecome exact in the limit of small boost or large binary separation. We hopethat these calculations will provide additional insight into the properties oftendex and vortex fields, and will form a useful test for future numericalcalculations.

Analytical Tendex and Vortex Fields for Perturbative Black Hole Initial Data