In brane-world theory in five dimensions, the bulk metric is usually written in gaussian coordinates, where g 4µ = 0 and g 44 = −1. However, the choice g 44 = −1 is not mandatory. The presence of matter in the brane can generate temporal and spatial variations of g 44 , which in turn backreact on the brane. In this paper we study the consequences of having g 44 = ǫΦ 2 , where ǫ = ±1 and Φ is a ...

The fluctuating gravitational field in inhomogeneous and clustered self-gravitating systems. Abstract. In this paper I extend the results of Ahmad & Cohen (1973), regarding the study of the probability distribution of the stochastic force in homogeneous gravitational systems, to inhomogeneous gravitational ones. To this aim, I study the stochastic force distribution using N-body realizations of...

The principal advantage of metal matrix composites (MMCs) over unreinforced monolithic alloys is that their physical and mechanical properties can be enhanced by tailoring both their microstructure and the 3D spatial arrangement of reinforcement. The former has been realised by adjusting volume fraction, size and aspect ratio of the reinforcing phases in the conventional approach to MMCs proces...

P2DHMMs manage the assignment of observations to states quite well, whereas the calculation of probabilities is a great problem. To overcome some of the defects of P2DHMMs we propose the inhomogeneous P2DHMM (IP2DHMM). In contrast to some other approaches it is able to model consistently state duration and observation matrices of fixed height at no additional cost in computational load and numb...

We introduce an approximation for the pair distribution function of the inhomogeneous hard sphere fluid. Our approximation makes use of our recently published averaged pair distribution function at contact, which has been shown to accurately reproduce the averaged pair distribution function at contact for inhomogeneous density distributions. This approach achieves greater computational efficien...