Titlebook: Dynamics of Extremal Black Holes; Stefanos Aretakis Book 2018 The Author(s) 2018 Einstein equations.Extremal Reissner-Nordstrom black hole

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Introduction to General Relativity and Black Hole DynamicsIn this Chapter we provide the general framework for curved spaces and introduce the notions of Lorentzian geometry which are necessary for understanding the mathematical aspects of general relativity and black hole dynamics. We also present rigorous results on the asymptotics of linear perturbations for sub-extremal black holes.

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Extremal Reissner–Nordström Black HolesIn this Chapter we thoroughly review the geometry of extremal Reissner–Nordström black holes. We also present the main results on the asymptotics of linear perturbations on such backgrounds.

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A Theory of Conservation Laws on Null HypersurfacesIn this Chapter we present a theory of conservation laws on null hypersurfaces in general Lorentzian manifolds. These conservation laws are a generalization of the conservation laws on extremal event horizons. We also review their relevance to the characteristic gluing problem and provide necessary and sufficient conditions for their existence.

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https://doi.org/10.1007/978-3-319-95183-6Einstein equations; Extremal Reissner-Nordstrom black holes; Extremal Kerr black holes; Lorentzian geom

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SpringerBriefs in Mathematical Physicshttp://image.papertrans.cn/e/image/284076.jpg