540 citations · 6.4k across the 303 of their papers we have counts for
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Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries
Andronikos Paliathanasis, Babak Vakili
We apply as selection rule to determine the unknown functions of a cosmological model the existence of Lie point symmetries for the Wheeler-DeWitt equation of quantum gravity. Our…
Comment on "Classification of Cosmic Scale Factor via Noether Gauge Symmetries" [Int. J. Theor. Phys. 54, 2343 (2015)]
A. Paliathanasis, K. Krishnakumar, P. G. L. Leach
We discuss the relationship between the Noether point symmetries of the geodesic Lagrangian, in a (pseudo)Riemannian manifold, with the elements of the Homothetic algebra of the sp…
Classical and Quantum Solutions in Brans-Dicke Cosmology with a Perfect Fluid
Andronikos Paliathanasis, Michael Tsamparlis, Spyros Basilakos +1
We consider the application of group invariant transformations in order to constrain a flat isotropic and homogeneous cosmological model, containing of a Brans-Dicke scalar field a…
Lie Symmetry Analysis of the Black-Scholes-Merton Model for European Options with Stochastic Volatility
A. Paliathanasis, K. Krishnakumar, K. M. Tamizhmani +1
We perform a classification of the Lie point symmetries for the Black--Scholes--Merton Model for European options with stochastic volatility, , in which the last is defined by a…
Scalar field cosmology modified by the Generalized Uncertainty Principle
Andronikos Paliathanasis, Supriya Pan, Souvik Pramanik
We consider quintessence scalar field cosmology in which the Lagrangian of the scalar field is modified by the Generalized Uncertainty Principle. We show that the perturbation term…
Comment on the Hojman conservation quantities in Cosmology
A. Paliathanasis, P. G. L. Leach
We comment upon the application of Hojman's method for the determination of conservation laws in Cosmology, which has been introduced by Capozziello \& Roshan (Phys. Lett. B 726 (2…