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Ok so as we all know that Spacetime Curvature has Geometric Disturbances which are mathematically called Gravitational Waves. But the question I am asking is that why the Coordinative value of the Metric Tensor $T$ mathematically becomes 0 when a Gravitational Wave geometrically passes through that particular mathematical region of Spacetime?

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why the Coordinative value of the Metric Tensor T mathematically becomes 0 when a Gravitational Wave geometrically passes through that particular mathematical region of Spacetime?

It doesn't.

By the way, $T$ is not usually the notation for the metric. Usually the metric is notated $g$, and $T$ is used for the stress-energy tensor.

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  • $\begingroup$ Thanks for correction. $\endgroup$
    – Kabir123
    Commented Nov 8, 2019 at 9:51

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