52 citations · 167 across the 23 of their papers we have counts for
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The Canonical Structure of Bigravity
Vladimir O. Soloviev
This work is motivated by an intention to make the theory of bigravity more comprehensible. Bigravity is a modification of the General Relativity (GR), maybe even the most natural…
Constraint Algebra in Bigravity
Vladimir O. Soloviev
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, i…
Ultralocal energy density in massive gravity
V. O. Soloviev, M. V. Tchichikina
We provide a space-time covariant Hamiltonian treatment for a finite-range gravitational theory. The Kuchar approach is used to demonstrate the bimetric picture of space-time in it…
Poincare algebra realized in Hamiltonian formalism of the Relativistic Theory of Gravitation
V. O. Soloviev, M. V. Tchichikina
We obtain the Poincare group generators by proper choice of arbitrary functions present in the Relativistic Theory of Gravitation (RTG) Hamiltonian. Their Dirac brackets give the P…
Canonical formalism of the Relativistic Theory of Gravitation
V. O. Soloviev, M. V. Tchichikina
The Hamiltonian of the Relativistic Theory of Gravitation (RTG) with nonzero graviton mass is derived. Scalar field is taken as a matter source. The second class constraints are ex…
Free Boundary Poisson Bracket Algebra in Ashtekar's Formalism
Vladimir O. Soloviev
We consider the algebra of spatial diffeomorphisms and gauge transformations in the canonical formalism of General Relativity in the Ashtekar and ADM variables. Modifying the Poiss…