637 research outputs found
Stellar Filaments in Self-Interacting Brans-Dicke Gravity
This paper is devoted to study cylindrically symmetric stellar filaments in
self-interacting Brans-Dicke gravity. For this purpose, we construct polytropic
filamentary models through generalized Lane-Emden equation in Newtonian regime.
The resulting models depend upon the values of cosmological constant (due to
scalar field) along with polytropic index and represent a generalization of the
corresponding models in general relativity. We also investigate fragmentation
of filaments by exploring the radial oscillations through stability analysis.
This stability criteria depends only upon the adiabatic index.Comment: 21 pages, 4 figures, accepted for publication in EPJ
Relativistic Neutron Stars: Rheological Type Extensions of the Equations of State
Based on the Rheological Paradigm, one has extended the equations of state
for relativistic spherically symmetric static neutron stars, taking into
consideration the derivative of the matter pressure along the so-called
director four-vector. The modified equations of state are applied to the model
of a zero-temperature neutron condensate. This model includes one new parameter
with the dimensionality of length, which describes the rheological type
screening inside the neutron star. As an illustration of the new approach, one
has considered the rheological type generalization of the non-relativistic
Lane-Emden theory and found the numerical profiles of the pressure for a number
of values of the new guiding parameter. One has found that the rheological type
self-interaction makes the neutron star more compact, since the radius of the
star, related to the first null of the pressure profile, decreases when the
modulus of the rheological type guiding parameter grows.Comment: 14 pages, 1 figure, 1 tabl
On the Newtonian Anisotropic Configurations
In this paper we are concerned with the effects of anisotropic pressure on
the boundary conditions of anisotropic Lane-Emden equation and homology
theorem. Some new exact solutions of this equation are derived. Then some of
the theorems governing the Newtonian perfect fluid star are extended taking the
anisotropic pressure into account
Noether Symmetries and Critical Exponents
We show that all Lie point symmetries of various classes of nonlinear
differential equations involving critical nonlinearities are
variational/divergence symmetries.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA
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