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

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

2010-09-05

arxiv.org/abs/1009.0934v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Ph.D. Dissertation. LaTeX2e, 165 pages

Scientific paper

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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