34 citations · 88 across the 5 of their papers we have counts for
3 papers · 1 filter
Quadratic conservation laws and collineations: a discussion
Leonidas Karpathopoulos, Michael Tsamparlis, Andronikos Paliathanasis
Every second order system of autonomous differential equations can be described by an autonomous holonomic dynamical system with a Lagrangian part, an effective potential and a set…
Wheeler-DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology
A. Paliathanasis, L. Karpathopoulos, A. Wojnar +1
Lie symmetries are discussed for the Wheeler-De Witt equation in Bianchi Class A cosmologies. In particular, we consider General Relativity, minimally coupled scalar field gravity…
Exact solutions of Bianchi I spacetimes which admit Conformal Killing vectors
Michael Tsamparlis, Andronikos Paliathanasis, Leonidas Karpathopoulos
We develop a new method in order to classify the Bianchi I spacetimes which admit conformal Killing vectors (CKV). The method is based on two propositions which relate the CKVs of…