English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We introduce a new, open-source computational general relativity frameworkfor the Wolfram Language called Gravitas, which boasts a number of novel anddistinctive features as compared to the many pre-existing computational andnumerical relativity frameworks currently available within the open-sourcecommunity. These include, but are not limited to: seamless integration of itspowerful symbolic and numerical subsystems, and, by extension, seamlesstransition between analytic/continuous representations and numerical/discreterepresentations of arbitrary spacetime geometries; highly modular, general andextensible representations of spacetime geometries, spacetime topologies, gaugeconditions, coordinate systems, matter fields, evolution equations and initialdata; ability to set up and run complex numerical relativity simulations, andto perform 2D and 3D visualizations, symbolic computations and numericalanalysis (including the extraction of gravitational wave signals) on theresulting data, all from within a single notebook environment; and atotally-unstructured adaptive refinement scheme based on hypergraph rewriting,allowing for exceedingly efficient discretization and numerical evolution ofCauchy initial data for a wide range of challenging computational problemsinvolving strong relativistic field dynamics. In this first in a series of twoarticles covering the framework, we focus on the design and capabilities ofGravitas's symbolic subsystem, including its general and flexible handling ofarbitrary geometries parametrized by arbitrary curvilinear coordinate systems(along with an in-built library of standard metrics and coordinate conditions),as well as its various high-level tensor calculus and differential geometryfeatures. We proceed to show how this subsystem can be used to solve theEinstein field equations both analytically and numerically.

Computational General Relativity in the Wolfram Language using Gravitas I: Symbolic and Analytic Computation