EinsteinPy - Making Einstein possible in Python

EinsteinPy is an open source pure Python package dedicated to problems arising in General Relativity and gravitational physics, such as goedesics plotting for Schwarzschild, Kerr and Kerr Newman space-time model, calculation of Schwarzschild radius, calculation of Event Horizon and Ergosphere for Kerr space-time. Symbolic Manipulations of various tensors like Metric, Riemann, Ricci and Christoffel Symbols is also possible using the library. EinsteinPy also features Hypersurface Embedding of Schwarzschild space-time, which will soon lead to modelling of Gravitational Lensing! It is released under the MIT license.

View source code of EinsteinPy!

Key features of EinsteinPy are:

• Geometry analysis and trajectory calculation in vacuum solutions of Einstein’s field equations

• Schwarzschild space-time

• Kerr space-time

• Kerr-Newman space-time

• Various utilities related to above geometry models

• Schwarzschild Radius

• Event horizon and ergosphere for Kerr black hole

• Maxwell Tensor and electromagnetic potential in Kerr-Newman space-time

• And much more!

• Symbolic Calculation of various quantities

• Christoffel Symbols

• Riemann Curvature Tensor

• Ricci Tensor

• Index uppering and lowering!

• Simplification of symbolic expressions

• Geodesic Plotting

• Static Plotting using Matplotlib

• Interactive 2D plotting

• Environment aware plotting!

• Coordinate conversion with unit handling

• Spherical/Cartesian Coordinates

• Boyer-Lindquist/Cartesian Coordinates

• Hypersurface Embedding of Schwarzschild Space-Time

And more to come!

Einsteinpy is developed by an open community. Release announcements and general discussion take place on our mailing list and chat.

The source code, issue tracker and wiki are hosted on GitHub, and all contributions and feedback are more than welcome. You can test EinsteinPy in your browser using binder, a cloud Jupyter notebook server:

EinsteinPy works on recent versions of Python and is released under the MIT license, hence allowing commercial use of the library.

from einsteinpy.plotting import StaticGeodesicPlotter
a = StaticGeodesicPlotter(mass)
a.plot(r,v)

Contents

• Getting started
  • Overview
  • Who can use?
  • Installation
  • Running your first code using the library
  • Contribute
• User guide
  • Defining the geometry: metric objects
  • Bodies Module: bodies
  • Utilities: utils
• Vacuum Solutions to Einstein’s Field Equations
  • Einstein’s Equation
  • Metric Tensor
  • Notion of Curved Space
  • Exact Solutions of EFE
• Jupyter notebooks
  • Visualizing advancement of perihelion in Schwarzschild space-time
  • Animations in EinsteinPy
  • Symbolically Understanding Christoffel Symbol and Riemann Curvature Tensor using EinsteinPy
  • Contravariant & Covariant indices in Tensors (Symbolic)
  • Ricci Tensor and Scalar Curvature calculations using Symbolic module
  • Analysing Earth using EinsteinPy!
  • Visualizing frame dragging in Kerr space-time
  • Visualizing event horizon and ergosphere of Kerr black hole
  • Plotting Spacial Hypersurface Embedding for Schwarzschild Space-Time
  • Weyl Tensor calculations using Symbolic module
  • Einstein Tensor calculations using Symbolic module
  • Lambdify in symbolic module
• What’s new
  • einsteinpy 0.2.1 - 2019-11-02
  • einsteinpy 0.2.0 - 2019-07-15
  • Bugs Fixed
  • einsteinpy 0.1.0 - 2019-03-08
• Developer Guide
  • Bug reporting
  • Documentation
  • Code writing
  • Development environment
  • Code Linting
• EinsteinPy API