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Thermodynamics of Lovelock-Lifshitz Black Branes · Around

2010

Thermodynamics of Lovelock-Lifshitz Black Branes

Dehghani, M. H., Mann, R. B.

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We investigate the thermodynamics of Lovelock-Lifshitz black branes.

We begin by introducing the finite action of third order Lovelock gravity in the presence of a massive vector field for a flat boundary, and use it to compute the energy density of these black branes.
Using the field equations, we find a conserved quantity along the $r$ coordinate that relates the metric parameters at the horizon and at infinity.
Remarkably, though the subleading large-$r$ behavior of Lovelock-Lifshitz black branes differs substantively from their Einsteinian Lifshitz counterparts, we find that the relationship between the energy density, temperature, and entropy density is unchanged from Einsteinian gravity.

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