  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. Using the first law of thermodynamics to obtain the relationship
between entropy and temperature, we find that it too is the same as the
Einsteinian case, apart from a constant of integration that depends on the
Lovelock coefficients.
