2015/12/28 by Igor Khavkine, Khavkine, Igor
Physics and Astronomy · #26C05 #49S05 #58E30 #83C05 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #msc:26C05 #msc:49S05 #msc:58E30 #msc:83C05
paper · pdf · doi:10.48550/arxiv.1512.08460
Based on a talk given at the 20th International Summer School on Global Analysis and its Applications, Stara Lesna, Slovakia (August, 2015)
arxiv created 2015/12/28 · openalex publication_date 2015/12/28 · arxiv updated 2015/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a variational formulation of General Relativity, with coupling to a cosmological constant, to scalar fields, to vector fields and to spinor fields (all with possible mass and interaction terms). Among the matter fields, we include ghosts corresponding to diffeomorphism and Yang-Mills gauge symmetries, with kinetic terms given by gauge fixing conditions leading to hyperbolic equations of motion for all fields. The distinguishing characteristic of our Lagrangian density is its polynomiality, in all dynamical fields and Lagrange multipliers, and its validity for any number of spacetime dimensions.