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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Negative modes and the thermodynamics of Reissner-Nordström black holes

Presented by Jorge Santos, Cambridge University

1 May 2009 13:00 in CLC 407

We analyze the problem of negative modes of the Euclidean section of the
Reissner-Nordström black hole in four dimensions. We find analytically
that a negative mode disappears when the specific heat at constant charge
becomes positive. The sector of perturbations analyzed here is included
in the canonical partition function of the magnetically charged black
hole. The result obeys the usual rule that the partition function is only
well-defined when there is local thermodynamical equilibrium. We point
out the difficulty in quantizing Einstein-Maxwell theory, where the
so-called conformal factor problem is considerably more intricate. Our
method, inspired by Kol [PhysRevD.77.044039], allows us to decouple the
divergent gauge volume and treat the metric perturbations sector in a
gauge-invariant way.

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