We investigate self-similar dynamical processes in an isothermal self-gravitational fluid with
spherical symmetry. With reference to the earlier complementary solution results of Larson …

Self-similar models are important in general relativity and other fundamental theories. In this
paper we shall discuss the “similarity hypothesis”, which asserts that under a variety of …

Perfect fluid with kinematic self-similarity is studied in 2+ 1 dimensional spacetimes with
circular symmetry, and various exact solutions to the Einstein field equations are given …

We explore self-similar dynamical processes in a spherical isothermal self-gravitational fluid
with an emphasis on shocks and outline astrophysical applications of such shock solutions …

We investigate self-similar magnetohydrodynamic (MHD) processes in an isothermal self-
gravitating fluid with a quasi-spherical symmetry and extend the envelope expansion with …

We give a classification of spherically symmetric kinematic self-similar solutions. This
classification is complementary to that given in a previous work by the present authors [Prog …

We study the evolution of an anisotropic fluid with kinematic self-similarity of the second
kind. We found a class of solution to the Einstein field equations by assuming an equation of …

This paper is devoted to find out cylindrically symmetric kinematic self-similar perfect fluid
and dust solutions. We study the cylindrically symmetric solutions which admit kinematic self …

This paper is devoted to classifying the most general plane symmetric spacetimes according
to kinematic self-similar perfect fluid and dust solutions. We provide a classification of the …

This paper is devoted to discuss some of the features of self-similar solutions of the first kind.
We consider the cylindrically symmetric solutions with different homotheties. We are …