DeepAI AI Chat
Log In Sign Up

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

04/23/2019
by   Francesco Torsello, et al.
0

We present bimEX, a Mathematica package for exact computations in 3+1 bimetric relativity. It is based on the xAct bundle, which can handle computations involving both abstract tensors and their components. In this communication, we refer to the latter case as concrete computations. The package consists of two main parts. The first part involves the abstract tensors, and focuses on how to deal with multiple metrics in xAct. The second part takes an ansatz for the primary variables in a chart as the input, and returns the covariant BSSN bimetric equations in components in that chart. Several functions are implemented to make this process as fast and user-friendly as possible. The package has been used and tested extensively in spherical symmetry and was the workhorse in obtaining the bimetric covariant BSSN equations and reproducing the bimetric 3+1 equations in the spherical polar chart.

READ FULL TEXT

page 1

page 2

page 3

page 4

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...
07/12/2019

rcosmo: R Package for Analysis of Spherical, HEALPix and Cosmological Data

The analysis of spatial observations on a sphere is important in areas s...
09/06/2021

OGRe: An Object-Oriented General Relativity Package for Mathematica

We present OGRe, a modern Mathematica package for tensor calculus, desig...
01/07/2020

Fast Kernel Smoothing in R with Applications to Projection Pursuit

This paper introduces the R package FKSUM, which offers fast and exact e...
05/21/2018

geomstats: a Python Package for Riemannian Geometry in Machine Learning

We introduce geomstats, a python package that performs computations on m...
10/18/2021

pygrank: A Python Package for Graph Node Ranking

We introduce pygrank, an open source Python package to define, run and e...
10/14/2021

Spherical polar coordinate transformation for integration of singular functions on tetrahedra

A method is presented for the evaluation of integrals on tetrahedra wher...