Constraint algebra in bigravity
- National Research Center Kurchatov Institute, Institute for High Energy Physics (Russian Federation)
The number of degrees of freedom in bigravity theory is found for a potential of general form and also for the potential proposed by de Rham, Gabadadze, and Tolley (dRGT). This aim is pursued via constructing a Hamiltonian formalismand studying the Poisson algebra of constraints. A general potential leads to a theory featuring four first-class constraints generated by general covariance. The vanishing of the respective Hessian is a crucial property of the dRGT potential, and this leads to the appearance of two additional second-class constraints and, hence, to the exclusion of a superfluous degree of freedom—that is, the Boulware—Deser ghost. The use of a method that permits avoiding an explicit expression for the dRGT potential is a distinctive feature of the present study.
- OSTI ID:
- 22472177
- Journal Information:
- Physics of Atomic Nuclei, Vol. 78, Issue 5; Other Information: Copyright (c) 2015 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
Similar Records
Massive graviton on arbitrary background: derivation, syzygies, applications
Massive graviton on arbitrary background: derivation, syzygies, applications