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Holographic Thermodynamics of Accelerating Black Holes

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One of the more curious exact solutions of Einstein gravity is the “C-metric”, a metric representing an accelerating black hole, the force being provided by a cosmic string emerging from the black hole horizon. The black hole is neither isolated, nor static, unless we embed it in AdS and drop the acceleration below the AdS scale – a so called “slowly accelerating black hole”. I will describe how to derive thermodynamics for the non-isolated black hole, including the cosmic string tension as a thermodynamical variable—as a result, a new chemical potential is introduced, the thermodynamic length. I will also discuss a set of extensive variables, or chemical expressions for the black hole that do not involve any reference to the geometrical parameters and describe some critical phenomena for the black hole.

This talk is part of the Theoretical Physics Colloquium series.

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