2007/03/31 by A. N. Aliev, Alikram N. Aliev, Hakan Cebeci +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Coupling constant #Dilaton #Field equation #Isotropy #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/24/13/017
published as Class.Quant.Grav.24:3425-3436,2007 · New formulas and references added
arxiv created 2007/06/07 · openalex publication_date 2007/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine the effective field equations that are obtained from the axi-dilaton gravity action with a second-order Euler–Poincaré term and a cosmological constant in all higher dimensions. We solve these equations for five-dimensional spacetimes possessing homogeneity and isotropy in their three-dimensional subspaces. For a number of interesting special cases, we show that the solutions fall into two main classes: the first class consists of time-dependent solutions with spherical or hyperboloidal symmetry which require certain fine-tuning relations between the coupling constants of the model and the cosmological constant. Solutions in the second class are locally static and prove the validity of Birkhoff's staticity theorem in the axi-dilaton gravity. We also give a class of static solutions, among them the well known charged black hole solutions with a cosmological constant in which the usual electric charge is superseded by an axion charge.