Holography for stress-energy tensor flows
Xi-Yang Ran, Feng Hao, Hao Ouyang
Abstract
We study the holographic description for general stress-energy tensor deformations in arbitrary dimensions using the metric flow approach. Mixed boundary conditions corresponding to these deformations emerge from solutions to the metric flow equations. To test this proposal, we analyze planar anti-de Sitter black holes with such boundary conditions and find that the deformed energies satisfy flow equations consistent with the field theory interpretation. We further derive the commuting condition for stress-energy tensor deformations and extend the mixed boundary condition description to accommodate families of commuting deformations.
Topics & Concepts
Tensor (intrinsic definition)Metric (unit)Flow (mathematics)Boundary (topology)Boundary value problemTensor fieldMathematicsMathematical analysisField (mathematics)PhysicsMetric tensorHolographyClassical mechanicsPlanarEinstein tensorGeometryMathematical physicsAnti-de Sitter spaceCauchy stress tensorEinstein field equationsDifferential geometryTensor calculusDeformation (meteorology)Black Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir Effect