Ivanov pointed out substantial analytical difficulties associated with self-gravitating, static,
isotropic fluid spheres when pressure explicitly depends on matter density. Simplifications …

The “gravitational memory effect” due to an exact plane wave provides us with an
elementary description of the diffeomorphisms associated with the analogue of “soft …

We reexamine and further develop different gravito-electromagnetic analogies found in the
literature, and clarify the connection between them. Special emphasis is placed in two exact …

We present a general method that can be used for geometrical and physical interpretation of
an arbitrary spacetime in four or any higher number of dimensions. It is based on the …

Considering electrically charged test particles, we continue our study of the exterior
dynamics of a charged Weyl black hole which has been previously investigated regarding …

We solve the geodesic deviation equations for the orbital motions in the Schwarzschild
metric which are close to a circular orbit. It turns out that in this particular case the equations …

We derive a generalized deviation equation—analogous to the well-known geodesic
deviation equation—for test bodies in general relativity. Our result encompasses and …

We analyze the late-time evolution of the Universe in the framework of the self-consistent
model, in which dark matter is influenced by the Archimedean-type force proportional to the …

The Jacobi equation for geodesic deviation describes finite size effects due to the
gravitational tidal forces. In this paper we show how one can integrate the Jacobi equation in …

We study in detail the equations of the geodesic deviation in multidimensional theories of
Kaluza-Klein type. We show that their 4-dimensional space-time projections are identical …