133 research outputs found
Cylindrically Symmetric Inhomogeneous Universes with a Cloud of Strings
Cylindrically symmetric inhomogeneous string cosmological models are
investigated in presence of string fluid as a source of matter. To get the
three types of exact solutions of Einstein's field equations we assume , and . Some physical and geometric
aspects of the models are discussed.Comment: 9 page
String cosmological model in the presence of a magnetic flux
A Bianchi type I string cosmological model in the presence of a magnetic flux
is investigated. A few plausible assumptions regarding the parametrization of
the cosmic string and magneto-fluid are introduced and some exact analytical
solutions are presented.Comment: 9 pages, 4 Figure
A New Class of Inhomogeneous String Cosmological Models in General Relativity
A new class of solutions of Einstein field equations has been investigated
for inhomogeneous cylindrically symmetric space-time with string source. To get
the deterministic solution, it has been assumed that the expansion ()
in the model is proportional to the eigen value of the shear
tensor . Certain physical and geometric properties of the
models are also discussed.Comment: 12 pages, no figure. Submitted to Astrophys. Space Sci. arXiv admin
note: substantial text overlap with arXiv:0705.090
Lyra's Cosmology of Massive String in Anisotropic Bianchi-II Space-time
The paper deals with a spatially homogeneous and totally anisotropic Bianchi
II cosmological models representing massive strings in normal gauge for Lyra's
manifold. The modified Einstein's field equations have been solved by applying
variation law for Hubble's parameter. This law generates two type of solutions
for average scale factor, one is of power law type and other is of exponential
law type. The power law describes the dynamics of Universe from big bang to
present epoch while exponential law seems reasonable to project dynamics of
future Universe. It has been found that the displacement actor is a
decreasing function of time and it approaches to small positive value at late
time, which is collaborated with Halford (1970) as well as recent observations
of SN Ia. The study reveals that massive strings dominate in early Universe and
eventually disappear from Universe for sufficiently large time, which is in
agreement with the current astronomical observations.Comment: 12 pages, 5 figure
Bulk Viscous LRS Biachi-I Universe with variable and decaying
The present study deals with spatially homogeneous and totally anisotropic
locally rotationally symmetric (LRS) Bianchi type I cosmological model with
variable and in presence of imperfect fluid. To get the
deterministic model of Universe, we assume that the expansion in the
model is proportional to shear . This condition leads to , where ,\; are metric potential. The cosmological constant
is found to be decreasing function of time and it approaches a small
positive value at late time which is supported by recent Supernovae Ia (SN Ia)
observations. Also it is evident that the distance modulus curve of derived
model matches with observations perfectly.Comment: 11 pages, 4 figures and 1 table, Accepted for publication in
Astrophysics and Space Scienc
Some Bianchi Type III String Cosmological Models with Bulk Viscosity
We investigate the integrability of cosmic strings in Bianchi III space-time
in presence of a bulk viscous fluid by applying a new technique. The behaviour
of the model is reduced to the solution of a single second order nonlinear
differential equation. We show that this equation admits an infinite family of
solutions. Some physical consequences from these results are also discussed.Comment: 12 pages, no figure. To appear in Int. J. Theor. Phy
Bianchi Type-I Cosmological Models with Variable G and 4\Lambda$-Terms in General Relativity
Einstein's field equations with variable gravitational and cosmological
``constant'' are considered in presence of perfect fluid for Bianchi type-I
spacetime. Consequences of the four cases of the phenomenological decay of
have been discussed which are consistent with observations. The
physical significance of the cosmological models have also been discussed.Comment: 12 pages, no figur
Bianchi type-I model with cosmic string in the presence of a magnetic field: spinor description
A Bianchi type-I cosmological model in the presence of a magnetic flux along
a cosmic string is investigated. A nonlinear spinor field is used to simulate
the cosmological cloud of strings. It is shown that the spinor field simulation
offer the possibility to solve the system of Einstein's equation without any
additional assumptions. It is shown that the present model is nonsingular at
the end of the evolution and does not allow the anisotropic Universe to turn
into an isotropic one.Comment: 14 pages, 4 figures, new figus are added, singularity and
isotropization process are discussed in detai
Bianchi type-I string cosmological model in the presence of a magnetic field: classical versus loop quantum cosmology approaches
A Bianchi type-I cosmological model in the presence of a magnetic flux along
a cosmological string is considered. The first objective of this study is to
investigate Einstein equations using a tractable assumption usually accepted in
the literature. Quantum effects of the present cosmological model are examined
in the framework of loop quantum cosmology. Finally we draw a parallel between
the classical and quantum approaches.Comment: 14 pages, 8 figure
Green function techniques in the treatment of quantum transport at the molecular scale
The theoretical investigation of charge (and spin) transport at nanometer
length scales requires the use of advanced and powerful techniques able to deal
with the dynamical properties of the relevant physical systems, to explicitly
include out-of-equilibrium situations typical for electrical/heat transport as
well as to take into account interaction effects in a systematic way.
Equilibrium Green function techniques and their extension to non-equilibrium
situations via the Keldysh formalism build one of the pillars of current
state-of-the-art approaches to quantum transport which have been implemented in
both model Hamiltonian formulations and first-principle methodologies. We offer
a tutorial overview of the applications of Green functions to deal with some
fundamental aspects of charge transport at the nanoscale, mainly focusing on
applications to model Hamiltonian formulations.Comment: Tutorial review, LaTeX, 129 pages, 41 figures, 300 references,
submitted to Springer series "Lecture Notes in Physics
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