We extend the induced matter model, previously applied to a variety of isotropic cases, to a generalization of Bianchi type-I anisotropic cosmologies. The induced matter model is a 5D Kaluza-Klein approach in which assumptions of compactness are relaxed for the fifth coordinate, leading to extra geometric terms. One interpretation of these extra terms is to identify them as an “induced matter” ...

We study the low energy string effective action with an exponential type dilaton potential and vanishing torsion in a Bianchi type I space-time geometry. In the Einstein and string frames the general solution of the gravitational field equations can be expressed in an exact parametric form. Depending on the values of the dilaton coupling constant and of the coefficient in the exponential, the o...

We show that as in the case of isotropic models, `Dirac Algorithm' and `Modified Horowitz' Formalism' lead to identical phase-space structure Hamiltonian for gravitational action with curvature squared terms, anisotropic space-time, viz, Bianchi-I, Bianchi-III Kantowski-Sachs models too.

In the present work we have focused on investigated dynamical aspects of LRS Bianchi type –I metric within frame f(R) theory gravitation. The solution is accelerating universe are derived by assuming negative constant deceleration parameter and utilizing a power law relation. Additionally, visually analyzed metric’s geometrical properties through graphical representations.