Abstract
We construct exact hairy planar black holes in D-dimensional AdS gravity. These solutions are regular except at the singularity and have stress-energy that satisfies the null energy condition. We present a detailed analysis of their thermodynamical properties and show that the first law is satisfied. We also discuss these solutions in the context of AdS/CFT duality and construct the associated c-function.
Highlights
Classical gravity in the bulk one can obtain important information about the strong regime of the dual field theories, which admit gravity duals
We present a detailed analysis of their thermodynamical properties and show that the first law is satisfied
We show that the null energy condition is satisfied and so we expect that the boundary theory is well defined
Summary
We generalize the black hole solutions of [4]. While exact 5-dimensional planar black hole solutions were presented in [4], we are going to focus on other dimensions here and show that the solutions can be nicely written in a compact form. By carefully studying the asymptotic properties of these solutions, we will obtain the mass of the scalar. In a particular case when a part of the potential vanishes, we will present a concrete superpotential associated to the scalar potential. This case is interesting to understanding of dynamics in theories with domain walls [17,18,19]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
