Bounds on area and charge for marginally trapped surfaces with a cosmological constant
Bounds on area and charge for marginally trapped surfaces with a cosmological constant
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具有宇宙学常数的边缘捕获表面的面积和电荷界限
DOI：
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发表时间：
2011
期刊：
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通讯作者：
W. Simon
中科院分区：
文献类型：
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作者：
W. Simon
We sharpen the known inequalities AΛ ⩽ 4π(1 − g) (Hayward et al 1994 Phys. Rev. D 49 5080, Woolgar 1999 Class. Quantum Grav. 16 3005) and A ⩾ 4πQ2 (Dain et al 2012 Class. Quantum Grav. 29 035013) between the area A and the electric charge Q of a stable marginally outer-trapped surface (MOTS) of genus g in the presence of a cosmological constant Λ. In particular, instead of requiring stability we include the principal eigenvalue λ of the stability operator. For Λ* = Λ + λ > 0, we obtain a lower and an upper bound for Λ*A in terms of Λ*Q2, as well as the upper bound for the charge, which reduces to in the stable case λ ⩾ 0. For Λ* < 0, there only remains a lower bound on A. In the spherically symmetric, static, stable case, one of our area inequalities is saturated iff the surface gravity vanishes. We also discuss implications of our inequalities for ‘jumps’ and mergers of charged MOTS.
