General Relativity Analytic and Symbolic Problems with Mathematica

"This study guide provides symbolic and analytical exercises in Mathematica to accompany studies of general relativity. The exercises allow readers to approach conceptual problems in general relativity analytically, and to attack them numerically with Mathematica. Readers are guided to then write codes to perform the steps needed to resolve common problems in general relativity: including calculations of the Christoffel Symbols, the calculation of the Riemann and Ricci tensors, the calculation of the Energy-momentum tensor, the resolution of the filed equations of General Relativity, with and without the introduction of a Cosmological Constant. This study guide should be used alongside existing textbooks on general relativity to provide additional learning and engagement opportunities for advanced undergraduate and graduate students in physics and astrophysics taking courses on general relativity. It may also be of interest to mathematics students interested in celestial mechanics and space sciences"-- Provided by publisher.