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Exact solutions of Einstein-aether gravity in Bianchi Type V Cosmology
M. Roumeliotis, A. Paliathanasis, Petros A. Terzis +1
We present the solution space of the field equations in the Einstein-aether theory for the case of a vacuum Bianchi Type V space-time. We also find that there are portions of the i…
Dynamics and cosmological evolution in Λ-varying cosmology
G. Papagiannopoulos, Pavlina Tsiapi, Spyros Basilakos +1
We study the dynamical properties of a large body of varying vacuum cosmologies for which dark matter interacts with vacuum. In particular, performing the critical point analysis w…
Inhomogeneous spacetimes in Einstein-æther Cosmology
Andronikos Paliathanasis
We investigate the existence of inhomogeneous Szekeres spacetimes in Einstein-æther theory. We show that inhomogeneous solutions which can be seen as extension of the Szekeres solu…
Similarity solutions for the Wheeler-DeWitt equation in -cosmology
Andronikos Paliathanasis
In the case of a spatially flat Friedmann--Lema\^ıtre--Robertson--Walker universe in -gravity we write the Wheeler-DeWitt equation of quantum cosmology. The equa…
Symmetry Analysis In Inflationary Cosmology
Andronikos Paliathanasis
We approach the cosmological inflation thought symmetries of differential equations. We consider the general inflaton field in a homogeneous Friedmann--Lema\^ıtre--Robertson--Walke…
Similarity Inner Solutions for the Pulsar Equation
Andronikos Paliathanasis
Lie symmetries are applied to classify the source of the magnetic field for the Pulsar equation near to the surface of the neutron star. We find that there are six possible differe…