2015/02/24 by Mattia Villani, Villani, Mattia
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.1502.06801
openalex publication_date 2015/02/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
ADM tetrad gravity is an Hamiltonian reformulation of General Relativity which gives new insight to the Dark Matter Problem. We impose constraints on the parameter space of ADM tetrad gravity with a Yukawa-like ansatz for the trace of the extrinsic curvature of the 3D hypersurfaces by fitting the orbit of the S2 star around the Black Hole in the Galactic center and using the perihelia of some of the planets of the Solar System. We find very thight constraints on the strength of the coupling, 4.2 × 10-4 AU \lesssim δ \lesssim 4.6 × 10-4 AU, and an upper limit for the (inverse) scale length, μ \lesssim 3.5 × 10-6 AU-1.