1207.6955 (Ivan Booth)
Ivan Booth
Using Gaussian null coordinates, the near-horizon spacetime metric is pertubatively constructed for both isolated and dynamical trapping horizons (equivalently marginally outer trapped tubes). Spacetime is allowed to be of arbitrary dimension and the formalism accommodates both general relativity and more general field equations. The formalism is demonstrated for two applications. First, spacetime is considered near an isolated horizon and the construction is both checked against the Kerr-Newman solution and compared to the well-known near-horizon limit for stationary extremal black hole spacetimes. Second, spacetime is examined in the vicinity of a slowly evolving horizon and it is demonstrated that there is always an event horizon candidate in this region. The geometry and other properties of this null surface match those of the slowly evolving horizon to leading order and in this approximation the candidate evolves in a locally determined way. This generalizes known results for Vaidya as well as certain spacetimes known from studies of the fluid-gravity correspondence.
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http://arxiv.org/abs/1207.6955
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