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Shallow-water equations with complete Coriolis force: Group Properties and Similarity Solutions
Andronikos Paliathanasis
The group properties of the shallow-water equations with the complete Coriolis force is the subject of this study. In particular we apply the Lie theory to classify the system of t…
Quantization of the Szekeres spacetime through generalized symmetries
Andronikos Paliathanasis, Adamantia Zampeli, Theodosios Christodoulakis +1
We present the effect of the quantum corrections on the Szekeres spacetime, a system important for the study of the inhomogeneities of the pre-inflationary era of the universe. The…
Quantization of inhomogeneous spacetimes with cosmological constant term
Adamantia Zampeli, Andronikos Paliathanasis
We show that the Szekeres system with cosmological constant admits a sufficient number of conservation laws, which allow to claim the integrability of the system. The main novelty…
Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
Genly Leon, Andronikos Paliathanasis, N. Dimakis
Exact and analytic solutions in Einstein-Aether scalar field theory with Kantowski-Sachs background space are determined. The theory of point symmetries is applied to determine the…
New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries
Andronikos Paliathanasis
We investigate the existence of Liouville integrable cosmological models in hybrid metric-Palatini theory. Specifically we use the symmetry conditions for the existence of quadrati…
Integrable and Superintegrable Potentials of 2d Autonomous Conservative Dynamical Systems
Antonios Mitsopoulos, Michael Tsamparlis, Andronikos Paliathanasis
We consider the generic quadratic first integral (QFI) of the form and require the condition . The latte…