We present cosmological perturbation theory in mass varying neutrino models, and calculate cosmic microwave background anisotropies and matter power spectrum. In these models, the evolution of the mass of neutrinos is determined by the quintessence scalar field, which is responsible for the cosmic acceleration today. We consider several types of scalar field potentials and put constraints on th...

In this paper we deal with defects inside defects in systems of two scalar fields in 3 + 1 dimensions. The systems we consider are defined by potentials containing two real scalar fields, and so we are going to investigate domain ribbons inside domain walls. After introducing some general comments on the possibility of finding defects that support internal structure in two specific systems, we ...

In this paper we deal with defects inside defects in systems of two scalar fields in 3 + 1 dimensions. The systems we consider are defined by potentials containing two real scalar fields, and so we are going to investigate domain ribbons inside domain walls. After introducing some general comments on the possibility of finding domain ribbons inside domain walls in two specific systems, we intro...

We extend our previous results on the relation between quaternion-Kähler manifolds and hyperkähler cones and we describe how isometries, moment maps and scalar potentials descend from the cone to the quaternion-Kähler space. As an example of the general construction, we discuss the gauging and the corresponding scalar potential of hypermultiplets with the unitary Wolf spaces as target spaces. T...

The equation of motion for the first-order density matrix ~1DM! is constructed for interacting electrons moving under the influence of given external scalar and vector potentials. The 1DM is coupled there to the 2DM by means of the electron-electron interaction. This equation is then employed to obtain the differential virial equation for interacting electrons moving in a magnetic field of arbi...

Higher order symmetry operators for the wave equation with scalar and vector potentials are investigated. All scalar potentials which admit second order symmetry operators are found explicitly. Symmetries of partial differential equations are used for separation of variables [1], description of conservation laws [2], construction of exact solutions [3], etc. Before can be applied, symmetries ha...

We consider scalar-torsion gravity theories based on the exact solutions of a physical type potential for cosmological inflationary models non-minimal coupling scalar field and torsion. analyzed with different types dynamics corresponding parameters. Such an approach allows us to potentials in context realization both stages accelerated expansion universe. also considered correspondence surroun...

We obtain exact solutions of the (1+1) dimensional Klein Gordon equation with linear vector and scalar potentials in the presence of a minimal length. Algebraic approach to the problem has also been studied.

We give a tracker solution for the quintessence scalar field for Ratra–Peebles or SUGRA potentials, holding before, during and after the equality epoch (ρm = ρr) and nicely fitting the numerical behavior.

Techniques using gyroscopic forces and scalar potentials are used to create swarming behaviors for multiple agent systems. The methods result in collision avoidance between the agents as well as with obstacles.