13 research outputs found
Gravitational Waves in New General Relativity
The models of New General Relativity have recently got attention of research
community, and there are some works studying their dynamical properties. The
formal aspects of this investigation have been mostly restricted to the primary
constraints in the Hamiltonian analysis. However, it is by far not enough for
counting their degrees of freedom or judging whether they are any good and
viable. In this paper we study linearised equations in vacuum around the
trivial Minkowski tetrad. By taking the approach of cosmological perturbation
theory we show that the numbers of primary constraints are very easily seen
without any need of genuine Hamiltonian techniques, and give the full count of
linearised degrees of freedom in the weak field limit of each and every version
of New General Relativity without matter.Comment: 14 page
Dirac quantization of free motion on curved surfaces
We give an explicit operator realization of Dirac quantization of free
particle motion on a surface of codimension 1. It is shown that the Dirac
recipe is ambiguous and a natural way of fixing this problem is proposed. We
also introduce a modification of Dirac procedure which yields zero quantum
potential. Some problems of abelian conversion quantization are pointed out.Comment: 16 page
Invariant variational principle for Hamiltonian mechanics
It is shown that the action for Hamiltonian equations of motion can be
brought into invariant symplectic form. In other words, it can be formulated
directly in terms of the symplectic structure without any need to
choose some 1-form , such that , which is not unique
and does not even generally exist in a global sense.Comment: final version; to appear in J.Phys.A; 17 pages, 2 figure
On cosmic inflation in vector field theories
We investigate the longitudinal ghost issue in Abelian vector inflation. It
turns out that, within the class of Lorentz-invariant vector field theories
with three degrees of freedom and without any extra (scalar) fields, the
possibilities are essentially exhausted by the classical solution due to Larry
Ford with an extremely flat potential which doesn't feel the fast roll of its
argument. And, moreover, one needs to fulfil an extra condition on that
potential in order to avoid severe gradient instability. At the same time, some
Lorentz-violating modifications are worth to be explored.Comment: 10 pages; a few minor typos corrected; published versio