Five-dimensional Schwarzschild--anti-de Sitter black hole (Five-dimensional Schwarzschild-AdS black hole)

The spherical five-dimensional Schwarzschild--anti-de Sitter metric has

f (r) = 1 + r^{2} / L^{2} - μ / r^{2}

. Its horizon satisfies

μ = r_{H}^{2} (1 + r_{H}^{2} / L^{2})

and has area

2 π^{2} r_{H}^{3}

.

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