2019/01/05 by SangChul Yoon, Yoon, SangChul · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.1901.01416
12 pages, completion of previous works, arXiv:1706.07301 and arXiv:1805.01996
arxiv created 2019/01/05 · arxiv updated 2019/01/08
We work on the Lagrangian and the Hamiltonian formulations of the Palatini action. In the Lagrangian formulation, we find that we need to assume the metric compatibility and the torsion zero or to assume the tetrad compatibility to describe General Relativity. In the Hamiltonian formulation, we obtain the Einstein's equations only with assuming the tetrad compatibility. The Hamiltonian from assuming the metric compatibility and the torsion zero should be used to quantize General Relativity.