635 citations · 6.4k across the 144 of their papers we have counts for
6 papers · 1 filter
Gravitational instabilities and faster evolving density perturbations
Elcio Abdalla, Roya Mohayaee
The evolution of inhomogeneities in a spherical collapse model is studied by expanding the Einstein equation in powers of inverse radial parameter. In the linear regime, the densit…
Gravitational Clustering to All Perturbative Orders
Elcio Abdalla, Roya Mohayaee
We derive the time evolution of the density contrast to all orders of perturbation theory, by solving the Einstein equation for scale-invariant fluctuations. These fluctuations are…
Numerical study of the decay amplitudes in two dimensional QCD
E. Abdalla, N. Alves
After presenting a survey of theoretical results concerning the structure of two-dimensional QCD, we present a numerical study related to the mass eigenstates and the decay amplitu…
A Dynamical Approach to a Self-similar Universe
E. Abdalla, N. Afshordi, K. Khodjasteh +1
We write a non-relativistic Lagrangian for a hierarchical universe. The equations of motion are solved numerically and the evolution of the fractal dimension is obtained for differ…
Quantization of the multidimensional rotor
E. Abdalla, R. Banerjee
We reconsider the problem of quantising a particle on the -dimensional sphere. Adopting a Lagrangian method of reducing the degrees of freedom, the quantum Hamiltonian is found…
Phase Transition in a Self--Gravitating Planar Gas
Elcio Abdalla, M. Reza Rahimi Tabar
We consider a gas of Newtonian self-gravitating particles in two-dimensional space, finding a phase transition, with a high temperature homogeneous phase and a low temperature clum…