Retrieving "Weak Field Limit" from the archives

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1. Minkowski Metric

   Linked via "weak-field limit"

   The relationship between the two is foundational:
   $$g{\mu\nu} = \eta{\mu\nu} + h_{\mu\nu}$$
   where $h_{\mu\nu}$ represents small perturbations to the flat background. In the weak-field limit of General Relativity, solutions derived from the Einstein Field Equations approach the Minkowski metric as the source of mass-energy approaches zero, effectively recovering Special Relativity in locally [inertial reference frames](/entries/inertial-…