Regge calculus is the classical starting point for a bunch of different models of quantum gravity. Moreover, it is often considered a finite-element discretization of general relativity, providing so a potential practical scheme for numerical relativity. Despite these important roles, not many sample calculations have been studied. I will present one detailed example which, step-by-step, will show the power and the limits of this model. Many interesting aspects and open problems related to the Lorentzian structure of the discrete system will emerge.
Bibtex:
@InCollection{marinelli2016practical,
Title = {{A Practical Look at Regge Calculus}},
Author = {Marinelli, Dimitri and Immirzi, Giorgio},
Booktitle = {1st Karl Schwarzschild Meeting on Gravitational Physics},
Publisher = {Springer International Publishing},
Year = {2013},
Pages = {381--386},
Series = {Springer Proceeding in Physics},
Addendum = {Cited in the \href{http://mathworld.wolfram.com/ReggeCalculus.html}{MathWorld entry on - "Regge Calculus" }},
Doi = {10.1007/978-3-319-20046-0_46},
Journal = {Springer Proceeding in Physics},
Timestamp = {2015.11.13}
}