# Deformed AdS4-Reissner-Nordstr\"om black branes and shear viscosity-to-entropy density ratio

## TL;DR

This paper derives a family of deformed AdS4-Reissner-Nordstr"om black branes, analyzes their properties, and computes the shear viscosity-to-entropy ratio to explore implications for holographic duality and tidal charge constraints.

## Contribution

It introduces a new class of deformed black branes using the ADM formalism and applies AdS/CFT methods to determine their shear viscosity-to-entropy ratios.

## Key findings

- New range for tidal charge derived from viscosity ratio
- Identification of free parameter values affecting horizon properties
- Shear viscosity-to-entropy ratio computed for deformed black branes

## Abstract

A family of deformed AdS4-Reissner-Nordstr\"om black branes, governed by a free parameter, is derived using the ADM formalism, in the context of the membrane paradigm. Their new event horizons, the Hawking temperature and other aspects are scrutinized. AdS/CFT near-horizon methods are then implemented to compute the shear viscosity-to-entropy ratio for the deformed AdS4-Reissner-Nordstr\"om metric. The Killing equation is shown to yield new values for the free parameter and the shear viscosity-to-entropy ratio is used to derive a reliable range for tidal charge.