Tatsuma Nishioka 2009 Class. Quantum Grav. 26 242001 doi:10.1088/0264-9381/26/24/242001
Tatsuma Nishioka
Show affiliationsWe derive the detailed balance condition as a solution to the Hamilton–Jacobi equation in the Hořava–Lifshitz gravity. This result leads us to propose the existence of the d-dimensional quantum field theory on the future boundary of the (d + 1)-dimensional Hořava–Lifshitz gravity from the viewpoint of the holographic renormalization group. We also obtain a Ricci flow equation of the boundary theory as the holographic RG flow, which is the Hamilton equation in the bulk gravity, by tuning parameters in the theory.
11.10.Ef Lagrangian and Hamiltonian approach
04.50.-h Higher-dimensional gravity and other theories of gravity
Issue 24 (21 December 2009)
Received 23 September 2009, in final form 26 October 2009
Published 16 November 2009
Tatsuma Nishioka 2009 Class. Quantum Grav. 26 242001
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