34 citations · 88 across the 5 of their papers we have counts for
5 papers
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…
Lie and Noether point Symmetries for a Class of Nonautonomous Dynamical Systems
Leonidas Karpathopoulos, Andronikos Paliathanasis, Michael Tsamparlis
We prove two general theorems which determine the Lie and the Noether point symmetries for the equations of motion of a dynamical system which moves in a general Riemannian space u…
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…
Autonomous three dimensional Newtonian systems which admit Lie and Noether point symmetries
M. Tsamparlis, A. Paliathanasis, L. Karpathopoulos
We determine the autonomous three dimensional Newtonian systems which admit Lie point symmetries and the three dimensional autonomous Newtonian Hamiltonian systems, which admit Noe…