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BV-BFV approach to general relativity: Einstein-Hilbert action


Cattaneo, Alberto S; Schiavina, Michele (2016). BV-BFV approach to general relativity: Einstein-Hilbert action. Journal of Mathematical Physics, 57(2):online.

Abstract

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.

Abstract

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.

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Additional indexing

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:15 Mar 2024 02:45
Publisher:American Institute of Physics
ISSN:0022-2488
OA Status:Green
Publisher DOI:https://doi.org/10.1063/1.4941410
Project Information:
  • : FunderSNSF
  • : Grant IDPDFMP2_137103
  • : Project TitleTopological Field Theories
  • Content: Accepted Version
  • Language: English