Vacuum corrections in Kaluza-Klein model with nonstationary geometry

1990 ◽  
Vol 85 (3) ◽  
pp. 1283-1289 ◽  
Author(s):  
V. M. Dragilev
Keyword(s):  
2019 ◽  
Vol 25 (4) ◽  
pp. 349-353 ◽  
Author(s):  
Ezgi Yalçınkaya ◽  
Alexander Zhuk

2009 ◽  
Vol 18 (06) ◽  
pp. 929-946 ◽  
Author(s):  
VALENTINO LACQUANITI ◽  
GIOVANNI MONTANI

A long-standing problem in Kaluza–Klein models is the description of matter dynamics. Within the 5D model, the dimensional reduction of the geodesic motion for a 5D free test particle formally restores electrodynamics, but the reduced 4D particle shows a charge–mass ratio that is upper-bounded, such that it cannot fit in with any kind of elementary particle. At the same time, from the quantum dynamics viewpoint, there is the problem of the generation of huge massive modes. We present a criticism against the 5D geodesic approach and face the hypothesis that in Kaluza–Klein space the geodesic motion does not deal with the real dynamics of the test particle. We propose a new approach: starting from the conservation equation for the 5D matter tensor, within the Papapetrou multipole expansion, we prove that the 5D dynamical equation differs from the 5D geodesic one. Our new equation provides right coupling terms without bounding and in such a scheme the tower of massive modes is removed.


2008 ◽  
Vol 23 (08) ◽  
pp. 1270-1273 ◽  
Author(s):  
VALENTINO LACQUANITI ◽  
GIOVANNI MONTANI

We analyze some unphysical features of the geodesic approach to matter coupling in a compactified Kaluza-Klein scenario, like the q/m puzzle and the huge massive modes. We propose a new approach, based on Papapetrou multipole expansion, that provides a new equation for the motion of a test particle. We show how this equation provides right couplings and does not generate huge massive modes.


1992 ◽  
Vol 07 (02) ◽  
pp. 117-129 ◽  
Author(s):  
V.M. BELYAEV ◽  
IAN I. KOGAN

Kaluza-Klein model on M4×S1 with SU (N) gauge fields and Nf fermions in fundamental representation is considered. It is noted that on one-loop level the lowest state of this theory corresponds to effective four-dimensional theory which has no massless fermions. This statement does not depend on fermion boundary conditions. The state with mass-less four-dimensional fermions is metastable. It is shown that this metastable states can be stabilized by effects of classical gravitation. The same problem of metastability of states with zero fermionic modes can appear in more realistic superstring compactification models and these effects of classical gravitation can resolve this problem of metastability.


2016 ◽  
Vol 31 (06) ◽  
pp. 1650038 ◽  
Author(s):  
Hilmi Yanar ◽  
Mustafa Salti ◽  
Oktay Aydogdu ◽  
Irfan Acikgoz ◽  
Erol Yasar

We use a Kaluza–Klein model with variable cosmological and gravitational terms to discuss the nature of galactic entropy function. For this purpose, we assume a universe filled with dark fluid and consider five-dimensional (5D) field equations using the Gamma law equation. We mainly discuss the validity of the first and generalized second laws of galactic thermodynamics for viable Kaluza–Klein models.


1999 ◽  
Vol 14 (29) ◽  
pp. 2025-2031 ◽  
Author(s):  
MERAB GOGBERASHVILI

Five-dimensional model with extended dimensions investigated. It is shown that four dimensionality of our world is the result of the stability requirement. Extra component of five-dimensional Einstein's equations that is responsible for trapping of matter fields coincides with the condition of stability.


2006 ◽  
Vol 15 (04) ◽  
pp. 559-581 ◽  
Author(s):  
VALENTINO LACQUANITI ◽  
GIOVANNI MONTANI

Our purpose is to recast the KK model in terms of ADM variables. We examine and solve the problem of the consistency of this approach, with particular care about the role of the cylindricity hypothesis. We show in detail how the KK reduction commutes with the ADM slicing procedure and how this leads to a well-defined and unique ADM reformulation. This allows us to consider the Hamiltonian formulation of the model and moreover it can be viewed as the first step for the Ashtekar reformulation of the KK scheme. Moreover, we show how the time component of the gage vector arises naturally from the geometrical constraints of the dynamics; this is a positive check for the autoconsistency of the KK theory and for an Hamiltonian description of the dynamics which will take into account the compactification scenario; this result enforces the physical meaning of the KK model.


1987 ◽  
Vol 72 (1) ◽  
pp. 742-747
Author(s):  
D. V. Vasilevich
Keyword(s):  

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