Abstract
The problems faced by Einstein in formulating the general theory of relativity are discussed. Einstein derived the generally-covariant version of identities, which in conjunction with the field equations imply energy-momentum conservation. Einstein also showed that the identities guaranteeing energy-momentum conservation are a direct consequence of the covariance of the action functional. He also derived the generally-covariant field equations from an action principle with the Riemann curvature scalar as the Lagrangian.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 58-85 |
| Number of pages | 28 |
| Journal | Annalen der Physik (Leipzig) |
| Volume | 14 |
| Issue number | SUPPL. |
| DOIs | |
| State | Published - Feb 2005 |
Keywords
- Einstein field equations
- Equivalence principle
- General covariance
- Hole argument