Aims. The self-accelerating braneworld model (DGP) seems to provide a simple alternative to the the standard ΛCDM cosmology to explain the current cosmic acceleration, which is strongly indicated by measurements of Type Ia supernovae, as well as other concordant observations. Methods. In this work, we investigate observational constraints on this scenario from gravitational lensing statistics u...

In this paper, a general family of n-point Newton type iterative methods for solving nonlinear equations is constructed by using direct Hermite interpolation. The order of convergence of the new n-point iterative methods without memory is 2 requiring the evaluations of n functions and one first-order derivative in per full iteration, which implies that this family is optimal according to Kung a...

Aging changes including age spots and atherosclerotic plaques develop in a manner of inhomogeneous and accelerated. For understanding this phenomenon, development of aging changes is analyzed by Misrepair mechanism, which is introduced in Misrepair-accumulation theory. I. Misrepair is a strategy of repair for increasing the surviving chance of an organism in situations of severe injuries; howev...

We present a non-linear analysis of perturbations around cosmological solutions in Generalised Massive gravity. This Lorentz invariant theory is an extension de Rham, Gabadadze, Tolley massive gravity that propagates 5 degrees freedom while allowing stable open FLRW cosmologies. For minimal model supports self-accelerating background, we study the dynamics perturbations. find equation for scala...

After extending the Regge-Teitelboim formulation of gravity to include case where background embedding space is not flat, we examine dynamics four-dimensional $k=0$ Robertson-Walker (RW) manifold embedded in various five-dimensional backgrounds. We find that when de Sitter space, RW undergoes a transition from de-accelerating phase an accelerating phase. This occurs before inclusion matter, rad...

We examine the dynamics of electron beams that, in free space, are self-accelerating, presence an additional magnetic field. focus our attention case Airy that follow parabolic trajectories and generalized classes associated with power-law trajectories. study interplay between beam self-acceleration circular motion caused by In beams, using integral representation, we find closed-form solutions...