5 research outputs found
No Small Hairs in Anisotropic Power-law Gauss-Bonnet Inflation
We will examine whether anisotropic hairs exist in a string-inspired scalar-Gauss-Bonnet gravity model with the absence of potential of scalar field during the inflationary phase. As a result, we are able to obtain the Bianchi type I power-law solution to this model under the assumption that the scalar field acts as the phantom field, whose kinetic is negative definite. However, the obtained anisotropic hair of this model turns out to be large, which is inconsistent with the observational data. We will therefore introduce a nontrivial coupling between scalar and vector fields such as into the scalar-Gauss-Bonnet model with the expectation that the anisotropic hair would be reduced to a small one. Unfortunately, the magnitude of the obtained anisotropic hair is still large. These results indicate that the scalar-Gauss-Bonnet gravity model with the absence of potential of scalar field might not be suitable to generate small anisotropic hairs during the inflationary phase
Recursive properties of Dirac and Metriplectic Dirac brackets with Applications
In this article, we prove that Dirac brackets for Hamiltonian and
non-Hamiltonian constrained systems can be derived recursively. We then study
the applicability of that formulation in analysis of some interesting physical
models. Particular attention is paid to the feasibility of implementation code
for Dirac brackets in Computer Algebra System and analytical techniques for
inversion of triangular matrices.Comment: 29 pages, Latex. Extended version of the article in Physica