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General Relativity as a fully singular Lagrange system

2010/03/28 by T. Mei, Mei, T.
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.1003.5352

25 pages, no figure

arxiv created 2010/10/27 · arxiv updated 2010/10/28

Abstract

We present some gauge conditions to eliminate all second time derivative terms in the vierbein forms of the ten Einstein equations of general relativity; at the same time, we present the corresponding Lagrangian in which there is not any quadratic term of first time derivative that can leads to those vierbein forms of the Einstein equations without second time derivative term by the corresponding Euler-Lagrange equations. General relativity thus becomes a fully singular Lagrange system.

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