Finally, a place where you can find every expression for those pesky component calculations in general relativity, and so much more!
My Favorite Spacetimes is a reference tool for Einstein's general theory of relativity: collected solutions to the field equations, with historical backgrounds and worked-out differential geometry suitable for advanced undergraduates, graduate students, and researchers interested in geometrodynamics. iPhone, Duo, iPad, Mac, Apple TV, and VisionPro compatible. The app comes loaded with Minkowski spacetime; the rest of the collection is downloaded from damiansowinski.com/MFS and refreshes itself when new information is added.
Spacetime data include line elements and metric in a variety of charts, Christoffel symbols, Riemann, Ricci, Einstein and Weyl tensors, Ricci and Kretschmann scalars, and geodesic equations. Conformal diagrams and specific embeddings are shown where needed. The mathematics is typeset in LaTeX so that you can directly copy it for other uses. Citations are found throughout, and the reference pages provide authors, titles, and external links. Spacetimes cab be searched for by name or keyword (vacuum, rotating, dust, wormhole, warp drive, etc).
No ads, no tracking, no accounts. The collection and updates are free.