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Black hole horizon sections, modelled as marginally outer trapped surfaces (MOTS), possess a notion of stability admitting a spectral characterization.
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Engman, M., Soto, R.C., J. Math. Phys. 47
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In the following, we only use points i)
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Reiris, M., private communication
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We note that the combination λ o ∗ = λ o + Λ \lambda_{o}^{*}=\lambda_{o}+\Lambda is the relevant one in the horizon area-charge inequilities incorporating Λ \Lambda Simon:2011zf
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Notice the role of Ω a ( ℓ ) \Omega^{(\ell)}_{a} in the (Komar) angular momentum J = 1 8 π ∫ 𝒮 Ω a ( ℓ ) ϕ a 𝑑 A J=\frac{1}{8\pi}\int_{\cal S}\Omega_{a}^{(\ell)}\phi^{a}dA associated with an axial Killing vector ϕ a \phi^{a}
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Hollands, S., Wald, R.M., · 2013
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