Magnetic dilaton strings in anti-de Sitter spaces

Ahmad Sheykhi

doi:10.1016/j.physletb.2008.12.070

Abstract

With an appropriate combination of three Liouville-type dilaton potentials, we construct a new class of spinning magnetic dilaton string solutions which produces a longitudinal magnetic field in the background of anti-de Sitter spacetime. These solutions have no curvature singularity and no horizon, but have a conic geometry. We find that the spinning string has a net electric charge which is proportional to the rotation parameter. We present the suitable counterterm which removes the divergences of the action in the presence of dilaton potential. We also calculate the conserved quantities of the solutions by using the counterterm method.

Highlights

The construction and analysis of black hole solutions in the background of anti-de Sitter (AdS) spaces is a subject of much recent interest
This interest is primarily motivated by the correspondence between the gravitating fields in an AdS spacetime and conformal field theory living on the boundary of the AdS spacetime [1]
It was argued that the thermodynamics of black holes in AdS spaces can be identified with that of a certain dual conformal field theory (CFT) in the high temperature limit [2]

Summary

INTRODUCTION

The construction and analysis of black hole solutions in the background of anti-de Sitter (AdS) spaces is a subject of much recent interest This interest is primarily motivated by the correspondence between the gravitating fields in an AdS spacetime and conformal field theory living on the boundary of the AdS spacetime [1]. Static and spinning magnetic sources in three and four-dimensional EinsteinMaxwell gravity with negative cosmological constant have been explored in [11, 12] The generalization of these asymptotically AdS magnetic rotating solutions to higher dimensions has been done [13]. The purpose of the present Letter is to construct a new class of static and spinning magnetic dilaton string solutions which produces a longitudinal magnetic field in the background of anti-de Sitter spacetime. We will present the suitable counterterm which removes the divergences of the action, and calculate the conserved quantities by using the counterterm method

BASIC EQUATIONS

STATIC MAGNETIC DILATON STRING

SPINNING MAGNETIC DILATON STRING

CONCLUSION AND DISCUSSION