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Everything about Einstein tensor

Tensor used in general relativity

In differential geometry, the Einstein tensor is used to express the curvature of a pseudo-Riemannian manifold. In general relativity, it occurs in the Einstein field equations for gravitation that describe spacetime curvature in a manner that is consistent with conservation of energy and momentum. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Einstein tensorA 5-minute orientation
  2. Skim a recent paper: Third post-Newtonian effective-one-body Hamiltonian in scalar-tensor and Einstein-scalar-Gauss-Bonnet gravityInfluential work since 2022
  3. Pick up a classic book: Einstein's Italian mathematiciansThe most-reprinted book on the subject
  4. Read the landmark paper: The Einstein Tensor and Its GeneralizationsCited 2,645 times
  5. Go sideways: Maxwell's equations in curved spacetimeA closely related topic
  6. Go sideways: Gibbons–Hawking–York boundary termA closely related topic

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