Tensor algebra made easy with Mathematica


Wardell, B. (2015). Tensor algebra made easy with Mathematica. Perimeter Institute. https://pirsa.org/15030127


Wardell, Barry. Tensor algebra made easy with Mathematica. Perimeter Institute, Mar. 24, 2015, https://pirsa.org/15030127


          @misc{ pirsa_15030127,
            doi = {10.48660/15030127},
            url = {https://pirsa.org/15030127},
            author = {Wardell, Barry},
            keywords = {Cosmology, Strong Gravity, Other},
            language = {en},
            title = {Tensor algebra made easy with Mathematica},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {mar},
            note = {PIRSA:15030127 see, \url{https://pirsa.org}}

Barry Wardell Cornell University


Calculations in General Relativity inevitably involve tricky manipulations of tensor equations. In many cases, the tensor algebra involved is at best tedious and fraught with error, and at worst impossible. It is, however, ideally suited to implementation in a computer algebra system such as Mathematica. In this talk I will show how the xAct tensor algebra package can be used to make light work of difficult tensor calculations. I will illustrate its wide-reaching functionality using applications in my own research, with relevance to black hole perturbations, numerical relativity and quantum gravity.