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arXiv · 1009.0934

Boundary conditions for Black Holes using the Ashtekar Isolated and Dynamical Horizons formalism

Zoë Schirmer
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Abstract

Isolated and Dynamical horizons are used to generate boundary conditions upon the lapse and shift vectors. Numerous results involving the Hamiltonian of General relativity are derived, including a self-contained derivation of the Hamiltonian equations of general relativity using both a direct 'brute force' method of directly computing Lie derivatives, as well as the standard Hamil- tonian approach. Conclusions are compared to numerous examples, including the Kerr, Schwarzschild-De Sitter, McVittie, and Vaiyda spacetimes.

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Zoë Schirmer. 2010-09-05. Boundary conditions for Black Holes using the Ashtekar Isolated and Dynamical Horizons formalism. https://arxiv.org/abs/1009.0934

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