Large D gravity and charged membrane dynamics with nonzero cosmological constant

Understand

In this paper, we have found a class of dynamical charged 'black-hole' solutions to Einstein-Maxwell system with a non-zero cosmological constant in a large number of spacetime dimensions.

• We have solved up to the first sub-leading order using large D scheme where the inverse of the number of dimensions serves as the perturbation parameter.
• The system is dual to a dynamical membrane with a charge and a velocity field, living on it.
• The dual membrane has to be embedded in a background geometry that itself, satisfies the pure gravity equation in presence of a cosmological constant.