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I'm looking for a way to calculate the horizon's surface for an arbitrary black hole in more than 4 dimensions. For example, if one has a metric of the form

[tex] ds^2=A(r)dt^2+B(r)dr^2+C(r)d\Omega_d^2,[/tex]

where [tex]A(r),B(r),C(r)[/tex] various functions and [tex]d[/tex] the spacetime dimension, how can one calculate the surface of the horizon, given that the horizon is at position [tex]r=r_0.[/tex]

Such cases occur in supersymmetric generalizations of various black holes (extremal Reissner Nordstrom for example) in more dimensions, say, 5.

Thank you in advance!

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# Calculation of the black hole horizon's surface

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