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Paper   IPM / P / 13463
School of Physics
  Title:   Near Horizon Extremal Geometry Perturbations: Dynamical Field Perturbations vs. Parametric Variations
1.  K. Hajian
2.  A. Seraj
3.  M.M. Sheikh-Jabbari
  Status:   Published
  Journal: JHEP
  Vol.:  111
  Year:  2014
  Pages:   10
  Supported by:  IPM
In arXiv:1310.3727 we formulated and derived the three universal laws governing Near Horizon Extremal Geometries (NHEG). In this work we focus on the Entropy Perturbation Law (EPL) which, similarly to the first law of black hole thermodynamics, relates perturbations of the charges labeling perturbations around a given NHEG to the corresponding entropy perturbation. We show that field perturbations governed by the linearized equations of motion and symmetry conditions which we carefully specify, satisfy the EPL. We also show that these perturbations are limited to those coming from difference of two NHEG solutions (i.e. variations on the NHEG solution parameter space). Our analysis and discussions shed light on the "no-dynamics" statements of arXiv:0906.2380 and arXiv:0906.2376.

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