Python at the speed of light - Simulating Relativity using EinsteinPy

An introduction to the very new python package "EinsteinPy", and how it helps to solve the greatest and most complex problem of all times - General Relativity. EinsteinPy is an Astropy Affiliated Package and a member organisation in ESA Summer of Code in Space 2019.

View talk here: https://cloudproject.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=8f42ed8d-d329-4f10-9ed4-aa9a0107f880

Lightning talk delivered at Python in Astronomy 2019 @ Space Telescope Science Institute, Baltimore, United States of America

Transcript

1. Python at the speed of light
   Simulating relativity using EinsteinPy
   Lightning Talk
   Shreyas Bapat @astroshreyas
   PyAstro 2019 @ STScI, Baltimore (USA) 29/07/2019
   

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2. Who is this guy?
   ● Undergraduate (Electrical
   Engineering) from IIT Mandi,
   India
   ● Amateur Astronomer
   ● Software Intern @ Siemens
   ● Passionate about open code
   ● Former Coordinator of Space
   Technology and Astronomy Cell,
   IIT Mandi
   

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3. What’s Wrong?
   According to derivation from Maxwell’s equation, speed of light is
   given by :
   ● The equation does not depend upon the position or velocity of
   the observer.
   ● This contradicts with Galileo’s and Newton’s perception of
   velocity(classical mechanics)
   

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4. Incorporate Gravity into SR (GR)
   ● Special Relativity - 1905
   ● General Relativity - 1916
   ● First exact solution to GR(Schwarzschild Solution) - 1916
   

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5. Straight lines in curved space!
   ● Introduction to geodesics
   ● In differential geometry, a geodesic is a curve representing in some sense the
   shortest path between two points in a surface, or more generally in a Riemannian
   manifold. It is a generalization of the notion of a "straight line" to a more general
   setting.
   

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6. Einstein’s Field Equation (EFE)
   Einstein's equation relates the matter content
   (right side of the equation) to the geometry (the
   left side) of the system. It can be summed up with
   "mass creates geometry, and geometry acts like
   mass".
   

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7. Schwarzschild Solution
   ● Kerr Solution
   ● Kerr-Newman Solution
   ● No-hair theorem
   

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8. What is
   

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9. Astropy Affiliated
   Package (Recently)
   

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10. Astropy Affiliated
    Package
    The only project which
    targets GR
    

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11. The EinsteinPy Core Team
    Shreyas Bapat
    Lead Developer
    Coordinates,
    Plotting and
    Packaging
    Ritwik Saha
    Lead Developer
    Symbolic
    Bhavya Bhatt
    Theoretical
    Physicist
    Metrics and ODE
    Priyanshu Khandelwal
    Lead Developer
    Conda Packaging,
    Adaptive Mesh Refinement
    

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12. Complete Workflow on GitHub
    

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13. OSI Approved Licence
    

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14. General Details
    ~ 28 Contributors so far!
    ~ 3200 Downloads (PyPi + conda)
    ~ 112 Stars (We want more :p)
    Packaged in Debian Astro Pure Blend
    

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15. Testing and Continuous Integration
    

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16. The EinsteinPy Package
    Key functionality and common tools needed for doing general relativity,
    gravitational physics, relativistically corrected orbit dynamics with Python
    

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17. The EinsteinPy Package
    Key functionality and common tools needed for doing general relativity,
    gravitational physics, relativistically corrected orbit dynamics with Python
    Key Features :
    Geometry analysis and trajectory calculation in vacuum solutions of
    Einstein’s field equations.
    - Schwarzschild Space-Time
    - Kerr Space-Time
    - Kerr-Newman Space-Time
    

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18. The EinsteinPy Package
    Key functionality and common tools needed for doing general relativity,
    gravitational physics, relativistically corrected orbit dynamics with Python
    Key Features :
    Coordinates support
    (~einsteinpy.coordinates)
    - Cartesian Coordinates
    - Spherical Coordinates
    - Boyer Lindquist Coordinates
    

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19. The EinsteinPy Package
    Key functionality and common tools needed for doing general relativity,
    gravitational physics, relativistically corrected orbit dynamics with Python
    Key Features :
    Symbolic Calculations
    - Christoffel Symbols
    - Riemann Curvature Tensor
    - Simplification of symbolic expressions
    - Weyl Tensor, Einstein Tensor
    SOCIS Student: Sofía Ortín Vela, Universidad de Zaragoza (Spain)
    

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20. The EinsteinPy Package
    Key functionality and common tools needed for doing general relativity,
    gravitational physics, relativistically corrected orbit dynamics with Python
    Key Features :
    Visualisation of Geodesics
    - 2D, 3D Visualisation using Matplotlib
    - 2D, 3D Interactive Visualisation using Plotly
    - Environment aware plotting and backend selection
    

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21. Let’s shoot a particle towards a Kerr Black hole
    

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22. Interesting : The Logo! They are geodesics
    (Plotted using matplotlib and EinsteinPy :P)
    

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23. Get in touch with EPy Community!
    Mailing List : einsteinpy-dev@groups.io (https://groups.io/g/einsteinpy-dev)
    Chatroom : https://matrix.to/#/#einsteinpy:matrix.org
    Developer Support : developers@einsteinpy.org
    GitHub : https://github.com/einsteinpy/einsteinpy
    Blog : https://einsteinpy.org
    Documentation: https://docs.einsteinpy.org
    

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24. Get in touch :D
    GitHub : shreyasbapat
    Twitter : @astroshreyas
    You can follow me to keep updated :)
    Or mail me :
    hello@shreyasb.com , shreyas@einsteinpy.org
    

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