Conserved quantities of the gravitational field in tetrad notation
We reexpress in tetrad form the background dependent family of superpotentials for the first-order Lagrangians which generate Einstein’s field equations, found in an earlier paper. Using a result on the pull-back properties of the Poincar´eCartan forms for second-order Lagrangian field theories, we...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
1994-01-01
|
| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/457-481.pdf |
| _version_ | 1797810779686174720 |
|---|---|
| author | M. FERRARIS M. FRANCAVIGLIA M. MOTTINI |
| author_facet | M. FERRARIS M. FRANCAVIGLIA M. MOTTINI |
| author_sort | M. FERRARIS |
| collection | DOAJ |
| description | We reexpress in tetrad form the background dependent family of superpotentials for the first-order Lagrangians which generate Einstein’s field equations, found in an earlier paper. Using a result on the pull-back properties of the Poincar´eCartan forms for second-order Lagrangian field theories, we show that these superpotentials are the superpotentials corresponding to a Lorentz invariant family of first-order tetrad Lagrangians.
|
| first_indexed | 2024-03-13T07:13:54Z |
| format | Article |
| id | doaj.art-5f0d27e1649e44199a09d5d0174cbd28 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-03-13T07:13:54Z |
| publishDate | 1994-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-5f0d27e1649e44199a09d5d0174cbd282023-06-05T13:52:37ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501994-01-01143457481Conserved quantities of the gravitational field in tetrad notationM. FERRARIS0M. FRANCAVIGLIA1M. MOTTINI2Istituto di Fisica Matematica "J.-L. Lagrange" – Università di Torino – Via Carlo Alberto, 10 – 10123 Torino, ItalyIstituto di Fisica Matematica "J.-L. Lagrange" – Università di Torino – Via Carlo Alberto, 10 – 10123 Torino, ItalyIstituto di Fisica Matematica "J.-L. Lagrange" – Università di Torino – Via Carlo Alberto, 10 – 10123 Torino, ItalyWe reexpress in tetrad form the background dependent family of superpotentials for the first-order Lagrangians which generate Einstein’s field equations, found in an earlier paper. Using a result on the pull-back properties of the Poincar´eCartan forms for second-order Lagrangian field theories, we show that these superpotentials are the superpotentials corresponding to a Lorentz invariant family of first-order tetrad Lagrangians. https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/457-481.pdfgeneral relativityconservation laws |
| spellingShingle | M. FERRARIS M. FRANCAVIGLIA M. MOTTINI Conserved quantities of the gravitational field in tetrad notation Rendiconti di Matematica e delle Sue Applicazioni general relativity conservation laws |
| title | Conserved quantities of the gravitational field in tetrad notation |
| title_full | Conserved quantities of the gravitational field in tetrad notation |
| title_fullStr | Conserved quantities of the gravitational field in tetrad notation |
| title_full_unstemmed | Conserved quantities of the gravitational field in tetrad notation |
| title_short | Conserved quantities of the gravitational field in tetrad notation |
| title_sort | conserved quantities of the gravitational field in tetrad notation |
| topic | general relativity conservation laws |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/457-481.pdf |
| work_keys_str_mv | AT mferraris conservedquantitiesofthegravitationalfieldintetradnotation AT mfrancaviglia conservedquantitiesofthegravitationalfieldintetradnotation AT mmottini conservedquantitiesofthegravitationalfieldintetradnotation |