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Comment on `Hamiltonian formulation for the theory of gravity and canonical transformations in extended phase space' by T P Shestakova
We argue that the conclusion, `we cannot consider the Dirac approach as fundamental and undoubted', made in the paper by Shestakova (Class. Quantum Grav. 28 055009, 2011), is based upon an incomplete
The Hamiltonian formulation of tetrad gravity: Three-dimensional case
The Hamiltonian formulation of tetrad gravity in any dimension higher than two, using its first-order form where tetrads and spin connections are treated as independent variables, is discussed, and
Comments on ``The Einstein-hilbert Lagrangian density in a 2-dimensional spacetime is an exact differential'' by R. da Rocha and W.A. Rodrigues, Jr.
We argue that the recent result of da Rocha and Rodrigues that in two dimensional spacetime the Lagrangian of tetrad gravity is an exact differential [1], despite the claim of the authors, neither
Scattering of a Gaussian wave packet by a reflectionless potential
The specific features of scattering of the Gaussian wave packet by the simplest of all reflectionless potentials, the Sech-squared well, are considered. The results of numerical computation show that
The Hamiltonian formulation of general relativity: myths and reality
A conventional wisdom often perpetuated in the literature states that: (i) a 3 + 1 decomposition of spacetime into space and time is synonymous with the canonical treatment and this decomposition is
Translational invariance of the Einstein–Cartan action in any dimension
We demonstrate that from the first order formulation of the Einstein– Cartan action it is possible to derive the basic differential identity that leads to translational invariance of the action in
Influence of mass polydispersity on dynamics of simple liquids and colloids.
The results elucidate the interpretation of experimental studies of collective particle motion in colloids, and the implications of polydispersity for observations of dynamical heterogeneity, in both simulations of simple liquids and colloid experiments are discussed.
A Canonical Analysis of the Einstein-Hilbert Action in First Order Form
Using the Dirac constraint formalism, we examine the canonical structure of the Einstein–Hilbert action , treating the metric gαβ and the symmetric affine connection as independent variables. For d>2