According to recent reports there is an excess correlation and an apparent regularity in the galaxy one-dimensional polar distribution with a characteristic scale of 128 h Mpc. This aparent spatial periodicity can be naturally explained by a time oscillation of the gravitational constant G. On the other hand, periodic growth features of bivalve and coral fossiles appear to show a periodic compo...

The dynamical equations describing the evolution of a physical system generally have a freedom in the choice of units, where different choices correspond to different physical systems that are described by the same equations. Since there are three basic physical units, of mass, length and time, there are up to three free parameters in such a rescaling of the units, N f 6 3. In Newtonian hydrody...

In this paper we point out a remarkable numerical relation between the large scale parameters of gravitation GN and H0 and the two fundamental parameters of quantum cromodynamics αQCD and ΛQCD. With this remark we make the conjecture that Newton’s gravitational constant could show an energy dependence analogous to αQCD. PACS:04.20.Ha, 04.90.+e ∗E-mail: [email protected]

In the present paper we show how obtain the energy distribution f(E) in our vicinity starting fromWIMP density profiles in a self consistent way by employing the Eddington approach and adding reasonable angular momentum dependent terms in the expression of the energy. We then show how we can obtain the velocity dispersions and the asymmetry parameter ]beta in terms of the parameters describing ...

The gravitational equations of the three dimensional (3D) brane world are investigated for both off–diagonal and warped 5D metrics which can be diagonalized with respect to some anholonomic frames when the gravitational and matter fields dynamics are described by mixed sets of holonomic and anholonomic variables. We construct two new classes of exact solutions of Kaluza–Klein gravity which gene...

The quantities ml and ms are the masses of two objects whose spatial separation is R. The value of the constant of proportionality, G, was not known to Newton and, in fact, was not accurately determined until the latter half of the nineteenth century. The calculation of its value was based on the results of an experiment to determine the density of the earth performed by Henry Cavendish, and pu...

We have derived the invariants of cosmological models with Gurzadyan-Xue dark energy, along with the solutions for any time dependent light speed and gravitational constant. The correspondence of the invari-ants with the separatrices found earlier for the GX-models in [4] is shown, and hence the basis of then detected hidden symmetry is now revealed. Solutions are derived both for radiation and...

We investigate the ratio of gravitational binding energy to rest mass in general relativity. For N pointlike masses, an upper bound on the magnitude of this ratio can be derived using the second law of black hole dynamics. Only as N approaches infinity can the ratio approach one. A configuration that saturates the N = ∞ bound is a thin spherical shell as its radius is taken to zero. This system...

We investigate the ratio of gravitational binding energy to rest mass in general relativity. For N pointlike masses, an upper bound on the magnitude of this ratio can be derived using the second law of black hole dynamics. Only as N approaches infinity can it approach one. A configuration that saturates the N = ∞ bound is a thin spherical shell as its radius is taken to zero. This system provid...

A cosmology with the growing cosmological constant (CC) energy density is considered. The requirement of general covariance implies the time dependence of the gravitational constant G. Irrespectively of the exact functional form of the growth of the CC energy density, the universe ends in a de Sitter regime with a constant asymptotic Λ, but vanishing G. Although there is no divergence of the sc...