Now showing items 1-10 of 10
Giant Radio Halos and Relics in ACTPol Clusters.
Galaxy clusters are the largest gravitationally-bound structures in the universe. They act as the largest astrophysical laboratories in the universe and are extremely interesting objects to study as they are at crossroads ...
An analysis of symmetries and conservation laws of some classes of PDEs that arise in mathematical physics and biology.
In this thesis, the symmetry properties and the conservation laws for a number of well-known PDEs which occur in certain areas of mathematical physics are studied. We focus on wave equations that arise in plasma physics, ...
The characteristic approach in determining first integrals of a predator-prey system.
Predator-Prey systems are an intriguing symbiosis of living species that interplay during the fluctuations of birth, growth and death during any period. In the light of understanding the behavioural patterns of the ...
Chebyshev spectral and pseudo-spectral methods in unbounded domains.
Chebyshev type spectral methods are widely used in numerical simulations of PDEs posed in unbounded domains. Such methods have a number of important computational advantages. In particular, they admit very efficient practical ...
Evolution of galaxy cluster scaling relations over half a Hubble time.
Abstract available in PDF file.
A discrete Hartley transform based on Simpson's rule.
The Discrete Hartley Transform and Discrete Fourier Transform are classical transfor- mations designed for e cient computations in the frequency domain. We introduce a relatively new transformation based on the existing ...
A covariant approach to LRS-II spacetime matching.
In this thesis we examine the spacetime matching conditions covariantly for Locally Rotationally Symmetric class II (LRS-II) spacetimes, of which spherical symmetry is a special case. We use the semi-tetrad 1+1+2 covariant ...
New classes of exact solutions in relativistic astrophysics.
The description of highly compact objects in a general relativistic setting is a problem of present research. The relativistic e ects arising from the presence of the electric eld and anisotropy are included in our ...
Investigation of gravitational collapse of generalized Vaidya spacetimes.
In this thesis, we study the gravitational collapse of generalized Vaidya spacetimes which describe a combination of lightlike and timelike matter elds, commonly known as Type I and Type II elds, respectively, in the ...
New solutions for nonlinear perfect fluids.
We investigate the Einstein system that governs the evolution of uncharged shear-free spherically symmetric fluids. First we present the Einstein equations for the static spherically symmetric gravitational fields in ...