Thermodynamics of charged rotating solutions in BransâDicke gravity with BornâInfeld field

Abstract

AbstractWe derive new exact charged rotating solutions of (n+1)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$(n+1)$$end{document}-dimensional BransâDicke theory in the presence of BornâInfeld field and investigated their properties. Because of the coupling between scalar field and curvature, the field equations cannot to be solved directly. Using a new conformal transformation, which transforms the Einstein-dilatonâBornâInfeld gravity Lagrangian to the BransâDickeâBornâInfeld gravity one, the field equations are solved. We also compute temperature, charge, mass, electric potential, and entropy; entropy, however, does not obey the area law. These quantities are invariant under conformal transformation and satisfy the first law of thermodynamics.