DeepAI AI Chat
Log In Sign Up

OGRe: An Object-Oriented General Relativity Package for Mathematica

09/06/2021
by   Barak Shoshany, et al.
0

We present OGRe, a modern Mathematica package for tensor calculus, designed to be both powerful and user-friendly. The package can be used in a variety of contexts where tensor calculations are needed, in both mathematics and physics, but it is especially suitable for general relativity. By implementing an object-oriented design paradigm, OGRe allows calculating arbitrarily complicated tensor formulas easily, and automatically transforms between index configurations and coordinate systems behind the scenes as needed, eliminating user errors by making it impossible for the user to combine tensors in inconsistent ways. Other features include displaying tensors in various forms, automatic calculation of curvature tensors and geodesic equations, easy importing and exporting of tensors between sessions, optimized algorithms and parallelization for improved performance, and more.

READ FULL TEXT

page 1

page 2

page 3

page 4

11/12/2021

SimpleTensor – a user-friendly Mathematica package for elementary tensor and differential-geometric calculations

In this paper we present a short overview of the new Wolfram Mathematica...
11/28/2017

TLib: A Flexible C++ Tensor Framework for Numerical Tensor Calculus

Numerical tensor calculus comprise basic tensor operations such as the e...
02/14/2020

Back-and-Forth prediction for deep tensor compression

Recent AI applications such as Collaborative Intelligence with neural ne...
04/23/2019

bimEX: A Mathematica package for exact computations in 3+1 bimetric relativity

We present bimEX, a Mathematica package for exact computations in 3+1 bi...
04/23/2019

𝚋𝚒𝚖𝙴𝚇: A Mathematica package for exact computations in 3+1 bimetric relativity

We present 𝚋𝚒𝚖𝙴𝚇, a Mathematica package for exact computations in 3+1 bi...
09/26/2017

Tensors Come of Age: Why the AI Revolution will help HPC

This article discusses how the automation of tensor algorithms, based on...
07/21/2021

PT VECTORS & TENSORS

PSYCHOTHOTONIX defines a quantum data set of internal non-matter image s...