2009/07/10 by Simon F. Ross, Omid Saremi · 11 citations
Mathematics · Physics and Astronomy · #Action (physics) #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cauchy stress tensor #Classical mechanics #Cosmology and Gravitation Theories #Einstein tensor #Exact solutions in general relativity #Geometry #Lanczos tensor #Mathematical physics #Mathematics #Physics #Quantum mechanics #Riemann curvature tensor #Symmetric tensor #Tensor (intrinsic definition) #Tensor density #Tensor field #Theoretical physics #Weyl tensor #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/09/009
published as JHEP 0909:009,2009 · 41 pages, no figures
arxiv created 2009/07/10 · openalex publication_date 2009/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the calculation of the field theory stress tensor from the dual geometry for two recent proposals for gravity duals of non-relativistic conformal field theories. The first of these has a Schrodinger symmetry including Galilean boosts, while the second has just an anisotropic scale invariance (the Lifshitz case). For the Lifshitz case, we construct an appropriate action principle. We propose a definition of the non-relativistic stress tensor complex for the field theory as an appropriate variation of the action in both cases. In the Schrodinger case, we show that this gives physically reasonable results for a simple black hole solution and agrees with an earlier proposal to determine the stress tensor from the familiar AdS prescription. In the Lifshitz case, we solve the linearised equations of motion for a general perturbation around the background, showing that our stress tensor is finite on-shell.