https://doi.org/10.1140/epjc/s10052-017-5187-9
Regular Article - Theoretical Physics
Viscosity to entropy density ratio for non-extremal Gauss–Bonnet black holes coupled to Born–Infeld electrodynamics
1
Indian Institute of Science Education and Research Kolkata, Mohanpur, Nadia, 741246, India
2
Inter University Centre for Astronomy and Astrophysics, Pune, 411007, India
3
S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata, 700106, India
* e-mail: sunandan.gangopadhyay@gmail.com
** e-mail: sunandan@iiserkol.ac.in
*** e-mail: sunandan@associates.iucaa.in
Received:
16
April
2017
Accepted:
4
September
2017
Published online:
16
September
2017
The ratio of the shear viscosity to the entropy density (
) 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 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.
© The Author(s), 2017
