2025/01/14 by Matteo Galaverni, Galaverni, Matteo, Gabriele Gionti +1 · 1 citation
Engineering · Medicine · #Advanced Numerical Analysis Techniques #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Medical Imaging Techniques and Applications
paper · pdf · doi:10.48550/arxiv.2501.08364
openalex publication_date 2025/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Spherically symmetric geometrodynamics is studied for scalar-tensor theory and Einstein General Relativity minimally coupled to a scalar field. We discussed the importance of boundary terms and derived the equations of motion in the Hamiltonian canonical formalism both in the Jordan and Einstein frames. These two frames are connected through an Hamiltonian canonical transformation on the reduced phase space obtained gauge-fixing the lapse and the radial shift functions. We discussed the effects of the singularity of the Hamiltonian canonical transformation connecting Jordan and Einstein frames for two static solutions (Fisher, Janis, Newman and Winicour solution in the Einstein frame and Bocharova-Bronnikov-Melnikov-Bekenstein black hole solution in the Jordan frame).