Entropy functionals and c-theorems from the second law

  title={Entropy functionals and c-theorems from the second law},
  author={S. Bhattacharjee and A. Bhattacharyya and Sudipta Sarkar and A. Sinha},
  journal={Physical Review D},
  • S. Bhattacharjee, A. Bhattacharyya, +1 author A. Sinha
  • Published 2016
  • Physics
  • Physical Review D
  • We show that for a general four derivative theory of gravity, only the holographic entanglement entropy functionals obey the second law at linearized order in perturbations. We also derive bounds on the higher curvature couplings in several examples, demanding the validity of the second law for higher order perturbations. For the five-dimensional Gauss-Bonnet theory in the context of AdS/CFT, the bound arising from black branes coincides with there being no sound channel instability close to… CONTINUE READING

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