25 citations · 91 across the 6 of their papers we have counts for
6 papers
Infinite dimensional symmetry groups of the Friedmann equations
T. Pailas, N. Dimakis, Andronikos Paliathanasis +2
We find the symmetry generators for the Friedman equations emanating from a perfect fluid source, in the presence of a cosmological constant term. The relevant dynamics is seen to…
Reduced Lagrangians and analytic solutions in Einstein-æther Cosmology
M. Roumeliotis, A. Paliathanasis, Petros A. Terzis +1
We present the solution space of the field equations in the Einstein-æther theory for the case of a and a LRS Bianchi Type space-time. We also find that there are port…
Quantization of the Szekeres System
A. Paliathanasis, Adamantia Zampeli, T. Christodoulakis +1
We study the quantum corrections on the Szekeres system in the context of canonical quantization in the presence of symmetries. We start from an effective point-like Lagrangian wit…
Automorphisms and a Cartography of the Solution Space for Vacuum Bianchi Cosmologies: The Type III Case
T. Christodoulakis, Petros A. Terzis
The theory of symmetries of systems of coupled, ordinary differential equations (ODE's) is used to develop a concise algorithm for cartographing the space of solutions to vacuum Bi…
Automorphism Inducing Diffeomorphisms, Invariant Characterization of Homogeneous 3-Spaces and Hamiltonian Dynamics of Bianchi Cosmologies
T. Christodoulakis, E. Korfiatis, G. O. Papadopoulos
An invariant description of Bianchi Homogeneous (B.H.) 3-spaces is presented, by considering the action of the Automorphism Group on the configuration space of the real, symmetric,…
Simultaneous Hamiltonian Treatment of Class A Spacetimes and Reduction of Degrees of Freedom at the Quantum Level
T. Christodoulakis, E. Korfiatis, E. C. Vagenas
We consider the quantization of a general spatially homogeneous space-time belonging to an arbitrary but fixed Class A Bianchi type. Exploiting the information furnished by the qua…