The issue of zeroth law for Killing horizons in Lanczos-Lovelock gravity
  We study the zeroth law for Killing horizons in Lanczos-Lovelock gravity. We show that the surface gravity of a general Killing horizon in Lanczos-Lovelock gravity (except for general relativity) may not be constant even when the matter source satisfies dominant energy condition. 
Sudipta Sarkar, Swastik Bhattacharya
gr-qc hep-th