In the present paper, we investigate the nature of Ricci‐Yamabe soliton on an imperfect fluid
generalized Robertson‐Walker spacetime with a torse‐forming vector field ξ. Furthermore, if …

In this work, we study spacelike trajectories of a relativistic particle model whose Lagrangian
is given by the total torsion of its worldline. Once the field equations are established, we …

The model of massless relativistic particle relying in a curvature-dependent action functional
is considered in the framework of generalized Robertson–Walker 4-spacetimes. The …

In this paper, we analyze trajectories of spacelike curves that are critical points of a
Lagrangian depending on its total torsion. We focus on two important families of spacetimes …

In this work, we consider geometrical models describing spinning particles in the context of
generalized Robertson–Walker spacetimes. We study spacelike and timelike trajectories for …

The space of curves which are extremal for the total curvature energy is well understood in
isotropic homogeneous 3-spaces, said otherwise, spaces of constant curvature. In this paper …

The model of a massless relativistic particle with curvature-dependent Lagrangian is well
known in (d+ 1)-dimensional Minkowski space. For other gravitational fields less rigid than …

We collect results that characterize trajectories of relativistic particle models defined by
functionals depending linearly either on the curvature or the torsion. Such curves are …

The model of a massless relativistic particle with curvature-dependent Lagrangian is well
known in (d+ 1)-dimensional Minkowski space. For other gravitational fields less rigid than …