Cattaneo, Alberto S; Schiavina, Michele (2016). BV-BFV approach to general relativity: Einstein-Hilbert action. Journal of Mathematical Physics, 57(2):online.
The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any d + 1 ≠ 2 (pseudo-) Riemannian manifold M with space-like or time-like boundary components, the BV data on the bulk induces compatible BFV data on the boundary. As a byproduct, the usual canonical formulation of general relativity is recovered in a straightforward way.
The present paper shows that general relativity in the Arnowitt-Deser-Misner formalism admits a BV-BFV formulation. More precisely, for any d + 1 ≠ 2 (pseudo-) Riemannian manifold M with space-like or time-like boundary components, the BV data on the bulk induces compatible BFV data on the boundary. As a byproduct, the usual canonical formulation of general relativity is recovered in a straightforward way.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Language: | English |
| Date: | February 2016 |
| Deposited On: | 10 Aug 2016 07:28 |
| Last Modified: | 26 Jan 2022 09:44 |
| Publisher: | American Institute of Physics |
| ISSN: | 0022-2488 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1063/1.4941410 |
| Project Information: |
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Cattaneo, Alberto S