2000/05/31 by Olivier Piguet · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Diffeomorphism #Einstein #Equations of motion #Field equation #Formalism (music) #Gravitation #Gravitational field #Invariant (physics) #Killing vector field #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Supersymmetry #Theoretical physics #Vector field #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/17/18/314
published as Class.Quant.Grav. 17 (2000) 3799-3806 · LaTex, 10 pages; sign corrected in eq. (3.9); added and completed references
arxiv created 2000/07/30 · openalex publication_date 2000/09/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Four-dimensional Einstein gravity in the Palatini first-order formalism is shown to possess a vector supersymmetry of the same type as found in the topological theories for Yang-Mills fields. A peculiar feature of the gravitational theory, characterized by diffeomorphism invariance, is a direct link of vector supersymmetry with the field equation of motion for the Faddeev-Popov ghost of diffeomorphisms.