Constraint Algebra in Bigravity
General Relativity and Quantum Cosmology
2021-02-03 v2 High Energy Physics - Theory
Abstract
The constraint algebra is derived in the second order tetrad Hamiltonian formalism of the bigravity. This is done by a straightforward calculation without involving any insights, implicit functions, and Dirac brackets. The tetrad approach is the only way to present the bigravity action as a linear functional of lapses and shifts, and the Hassan-Rosen transform (characterized as "a complicated redefinition of the shift variable" according to the authors) appears here not as an ansatz but as fixing of a Lagrange multiplier. A comparison of this approach with the other ones is provided.
Cite
@article{arxiv.2006.16230,
title = {Constraint Algebra in Bigravity},
author = {Vladimir O. Soloviev},
journal= {arXiv preprint arXiv:2006.16230},
year = {2021}
}
Comments
Typos removed, an introductory section is added, 36 pages, 4 tables