The different kinds of self-similarity in general relativity are discussed, with special emphasis
on similarity of thefirst'kind, corresponding to spacetimes admitting a homothetic vector. We …

This authoritative volume shows how modern dynamical systems theory can help us in
understanding the evolution of cosmological models. It also compares this approach with …

The dynamical equations of an extended 1+ 3 orthonormal frame approach to the relativistic
description of spacetime geometries are explicitly presented and discussed in detail. In …

The primary purpose of all physical theory is rooted in reality, and most relativists pretend to
be physicists. We may often be members of departments of mathematics and our work …

Scaling solutions and reconstruction of scalar field potentials Page 1 Scaling solutions and
reconstruction of scalar field potentials Claudio Rubano Department of Physical Sciences …

We use our Nöther Symmetry Approach to study the Einstein equations minimally coupled
with a scalar field, in the case of Bianchi universes of class A and B. Possible cases, when …

The use of automorphisms of the various Bianchi-type Lie algebras as Lie-point symmetries
of the corresponding Einstein field equations entails a reduction of their order and ultimately …

We consider a minimally coupled scalar field with a monomial potential and a perfect fluid in
flat Friedmann–Lemaître–Robertson–Walker cosmology. We apply local and global …

This dissertation investigates three main topics, all of which dealing with alternative, higher-
order gravity theories in four dimensions. Firstly, we study the variational and conformal …

We consider a dynamical systems formulation for models with an exponential scalar field
and matter with a linear equation of state in a spatially flat and isotropic spacetime. In …