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Gravity is an attractive force that affects and is affected by all mass and - in general relativity - energy, pressure, and stress. Prefer newtonian-gravity or general-relativity if sensible.

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LIGO only measures of diagonal components of metric tensor?

In linearized gravity you have the freedom to write these two polarizations as, $$ h_{\alpha \beta}(t,z) = \left( \begin{array}{c c c c} 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0 …
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Why is Brans-Dicke Theory considered as a failed attempt to incorporate Mach’s principle in ...

Brans-Dickie theory, can not be yet declared failed. Here is a very readable article on it. The evidence of variable G is low (it doesn't couple with matter).
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