Observations indicate that dark energy constitutes a substantial fraction of our Universe [1, 2, 3, 4, 5]. The range of possible candidates includes a cosmological constant and more flexible some form of dark energy with time dependent equation of state, called quintessence [6]. Commonly, realizations of quintessence scenarios feature a light scalar field [7, 8, 9]. The evolution of the scalar ...

We investigate the range of innationary universe models driven by scalar elds possessing a general interaction potential of the form V () = V 0 n exp(? m). Power-law, de Sitter and intermediate innationary universes emerge as special cases together with several new varieties of innation. Analysing the behaviour of these models at the extrema of we derive suucient constraints on the m-n paramete...

In this letter, we have considered the universe is filled with the mixture of tachyonic field and scalar or phantom field. If the tachyonic field interacts with scalar or phantom field, the interaction term decays with time and the energy for scalar field is transferred to tachyonic field or the energy for phantom field is transferred to tachyonic field. The tachyonic field and scalar field pot...

In this Note, we present several results concerning vector potentials and scalar potentials in a bounded, not necessarily simply-connected, three-dimensional domain. In particular, we consider singular potentials corresponding to data in negative order Sobolev spaces. We also give some applications to Poincaré’s theorem and to Korn’s inequality.

The impact of Lorentz violation on the dynamics of a scalar field is investigated. In particular, we study the dynamics of a scalar field in the scalar-vector-tensor theory where the vector field is constrained to be unity and time like. By taking a generic form of the scalar field action, a generalized dynamical equation for the scalar-vector-tensor theory of gravity is obtained to describe th...

(1999) A classification of scalar field potentials with cosmological scaling solutions. This document is made available in accordance with publisher policies and may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the URL above for details on accessing the published version. Copyright a...