Selected Problems in Computational Gravity

Date

2017-08-16

Authors

Miller, Jonah

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Journal ISSN

Volume Title

Publisher

University of Guelph

Abstract

Einstein's theory of general relativity comprises a system of ten highly nonlinear, coupled differential equations. This makes problems in general relativity notoriously difficult to solve via analytic methods. Therefore, numerical simulations and other computational techniques are often required to make progress. In this work, we discuss three such problems: transition amplitudes and the arrow of time in causal dynamical triangulations (CDT), discontinuous Galerkin finite element (DGFE) methods for relativistic astrophysics, and the stability of Kerr black holes with Proca hair.

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Keywords

quantum gravity, numerical relativity, numerical methods, discontinuous Galerkin methods, finite element methods, causal dynamical triangulations, dark matter, Proca fields, modified gravity, Monte Carlo methods, BSSN formulation, gravitation, general relativity, relativistic astrophysics

Citation