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- W3101427712 abstract "The teleparallel coframe gravity may be viewed as a generalization of the standard GR. A coframe (a field of four independent 1-forms) is considered, in this approach, to be a basic dynamical variable. The metric tensor is treated as a secondary structure. The general Lagrangian, quadratic in the first order derivatives of the coframe field is not unique. It involves three dimensionless free parameters. We consider a weak field approximation of the general coframe teleparallel model. In the linear approximation, the field variable, the coframe, is covariantly reduced to the superposition of the symmetric and antisymmetric field. We require this reduction to be preserved on the levels of the Lagrangian, of the field equations and of the conserved currents. This occurs if and only if the pure Yang - Mills type term is removed from the Lagrangian. The absence of this term is known to be necessary and sufficient for the existence of the viable (Schwarzschild) spherical-symmetric solution. Moreover, the same condition guarantees the absence of ghosts and tachyons in particle content of the theory. The condition above is shown recently to be necessary for a well defined Hamiltonian formulation of the model. Here we derive the same condition in the Lagrangian formulation by means of the weak field reduction." @default.
- W3101427712 created "2020-11-23" @default.
- W3101427712 creator A5082182020 @default.
- W3101427712 date "2004-12-17" @default.
- W3101427712 modified "2023-10-11" @default.
- W3101427712 title "Weak field reduction in teleparallel coframe gravity: Vacuum case" @default.
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- W3101427712 doi "https://doi.org/10.1063/1.1819523" @default.
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