Browsing by Subject "Boundary charges"

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    Boundary conditions for black holes using the Ashtekar isolated and dynamical horizons formalism
    (2010-12) Schirmer, Jerry Michael; Matzner, Richard A. (Richard Alfred), 1942-; Paban, Sonia; Knopf, Dan; Dicus, Duane; Morrison, Philip
    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.