Cosmological compactification in Kaluza-Klein model and time-dependent cosmological term

1992 ◽  
Vol 31 (12) ◽  
pp. 2103-2113 ◽  
Author(s):  
S. K. Srivastava
Keyword(s):  
Cosmological Term ◽  
Time Dependent ◽  
Klein Model ◽  
Kaluza Klein

Vacuum corrections in Kaluza-Klein model with nonstationary geometry

1990 ◽  
Vol 85 (3) ◽  
pp. 1283-1289 ◽  
Author(s):  
V. M. Dragilev
Keyword(s):  
Klein Model ◽  
Kaluza Klein

Brans-Dicke cosmology with time-dependent cosmological term

1990 ◽  
Vol 29 (12) ◽  
pp. 1419-1421 ◽  
Author(s):  
Marcelo Samuel Berman
Keyword(s):  
Cosmological Term ◽  
Time Dependent

scholarly journals Weak-Field Limit of a Kaluza-Klein Model with a Nonlinear Perfect Fluid

2019 ◽  
Vol 25 (4) ◽  
pp. 349-353 ◽  
Author(s):  
Ezgi Yalçınkaya ◽  
Alexander Zhuk
Keyword(s):  
Perfect Fluid ◽  
Weak Field ◽  
Field Limit ◽  
Weak Field Limit ◽  
Klein Model ◽  
Kaluza Klein

scholarly journals DYNAMICS OF MATTER IN A COMPACTIFIED KALUZA–KLEIN MODEL

2009 ◽  
Vol 18 (06) ◽  
pp. 929-946 ◽  
Author(s):  
VALENTINO LACQUANITI ◽  
GIOVANNI MONTANI
Keyword(s):  
Test Particle ◽  
Quantum Dynamics ◽  
Multipole Expansion ◽  
Conservation Equation ◽  
Geodesic Motion ◽  
Matter Tensor ◽  
New Equation ◽  
A Charge ◽  
Klein Model ◽  
Kaluza Klein

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.

scholarly journals ON MATTER COUPLING IN 5D KALUZA-KLEIN MODEL

2008 ◽  
Vol 23 (08) ◽  
pp. 1270-1273 ◽  
Author(s):  
VALENTINO LACQUANITI ◽  
GIOVANNI MONTANI
Keyword(s):  
Test Particle ◽  
Multipole Expansion ◽  
New Approach ◽  
Matter Coupling ◽  
New Equation ◽  
Klein Model ◽  
Kaluza Klein

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.

scholarly journals Domain Walls from M-Branes

1997 ◽  
Vol 12 (15) ◽  
pp. 1087-1094 ◽  
Author(s):  
H. Lü ◽  
C. N. Pope
Keyword(s):  
Domain Wall ◽  
Dimensional Reduction ◽  
Domain Walls ◽  
Additional Term ◽  
Cosmological Term ◽  
Domain Wall Solution ◽  
Toroidal Compactifications ◽  
Four Manifolds ◽  
M Theory ◽  
Kaluza Klein

We discuss the vertical dimensional reduction of M-sbranes to domain walls in D=7 and D=4, by dimensional reduction on Ricci-flat four-manifolds and seven-manifolds. In order to interpret the vertically-reduced five-brane as a domain wall solution of a dimensionally-reduced theory in D=7, it is necessary to generalize the usual Kaluza–Klein ansatz, so that the three-form potential in D=11 has an additional term that can generate the necessary cosmological term in D=7. We show how this can be done for general four-manifolds, extending previous results for toroidal compactifications. By contrast, no generalization of the Kaluza–Klein ansatz is necessary for the compactification of M-theory to a D=4 theory that admits the domain-wall solution coming from the membrane in D=11.

Brans-Dicke models with time-dependent cosmological term

1990 ◽  
Vol 29 (12) ◽  
pp. 1411-1414 ◽  
Author(s):  
Marcelo Samuel Berman ◽  
M. M. Som
Keyword(s):  
Cosmological Term ◽  
Time Dependent

scholarly journals Five-Dimensional Space-Times with a Variable Gravitational and Cosmological Constant

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Sanjay Oli
Keyword(s):  
Cosmological Constant ◽  
Perfect Fluid ◽  
Gravitational Constant ◽  
Dimensional Space ◽  
Space Time ◽  
Time Dependent ◽  
Field Equations ◽  
Current Observation ◽  
Kinematical Parameters ◽  
Kaluza Klein

We have presented cosmological models in five-dimensional Kaluza-Klein space-time with a variable gravitational constant (G) and cosmological constant (Λ). We have investigated Einstein’s field equations for five-dimensional Kaluza-Klein space-time in the presence of perfect fluid with time dependent G and Λ. A variety of solutions have been found in which G increases and Λ decreases with time t, which matches with current observation. The properties of fluid and kinematical parameters have been discussed in detail.

scholarly journals Kaluza-Klein FRW cosmological models in Lyra manifold

2009 ◽  
Vol 36 (2) ◽  
pp. 157-166 ◽  
Author(s):  
G. Mohanty ◽  
G.C. Samanta ◽  
K.L. Mahanta
Keyword(s):  
Perfect Fluid ◽  
Displacement Field ◽  
Arbitrary Constant ◽  
Matter Field ◽  
Cosmological Models ◽  
Time Dependent ◽  
Infinite Time ◽  
Lyra Manifold ◽  
Kaluza Klein

We have constructed five dimensional FRW cosmological models for k=-1,1,0 in Lyra manifold with time dependent displacement field. The matter field is considered in the form of a perfect fluid with isotropic matter pressure. It is found that the model for k=-1 is inflationary. For k=1, the model is inflationary for set of values of arbitrary constant n and decelerates in the standard way for another set of values of n. Moreover the concept of Lyra manifold does not exist at infinite time.

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