We report on the use of the recently developed Mathematica package VEST (Vector Einstein Summation Tools) to automatically derive the guiding center transformation. Our ...

Inhomogeneous Bianchi type-I cosmological model with electro-magnetic field based on Lyra geometry is investigated. Using separated method, the Einstein field equations have ...

We present a new package, VEST (Vector Einstein Summation Tools), that performs abstract vector calculus computations in Mathematica. Through the use of index notation, VEST ...

Perturbations and eikonal instabilities of black holes and branes in the Einstein- Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for ...

This undergraduate textbook discusses the nature of the microscopic universe from a modern perspective, based on Einstein's notions of relativity and Noether's proof of the ...

Exploration of some sort has always been an important part of the scientific method. In the last few decades, with the advent of exponentially increasing available computing ...

This presentation offers a brief overview of Pharis E. Williams' Dynamic Theory. In its most general form the theory predicts the geometry and generates equations for ...

Tensors in Physics is a two-in-one Mathematica application package containing: A user's guide and a brief refresher course in differential geometry that also aims to clarify ...

Brownian Motion Calculus presents the basics of Stochastic Calculus with a focus on the valuation of financial derivatives, while using several examples of Mathematica. It is ...

A formalism is presented to treat axisymmetric stationary spacetimes in the most general case, when the stress-energy tensor is not assumed to be circular, so that one cannot ...