## Viscosity to entropy density ratio for non-extremal Gauss–Bonnet black holes coupled to Born–Infeld electrodynamics

### Abstract

Abstract The ratio of the shear viscosity to the entropy density ( $$\eta /s$$ η / s ) is calculated for non-extremal black holes in D dimensions with arbitrary forms of the matter Lagrangian for which the space-time metric takes a particular form. The result reduces to the standard expressions in 5 dimensions. The $$\eta /s$$ η / s ratio is then computed for Gauss–Bonnet black holes coupled to Born–Infeld electrodynamics in 5 dimensions. As a result we found corrections as regards the BI parameter and th result is analytically exact up to all orders in this parameter. The computations are then extended to D dimensions

Topics: Astrophysics, QB460-466, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
Publisher: SpringerOpen
Year: 2017
DOI identifier: 10.1140/epjc/s10052-017-5187-9
OAI identifier: oai:doaj.org/article:af32334cc5964fb4a9395723a83cc336
Journal: