1996/11/22 by Youngjai Kiem, Dahl Park · 7 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dilaton #Einstein #General relativity #Geometry #Homogeneous space #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Scalar field #Space (punctuation) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/s0550-3213(96)00658-x
published in Nuclear Physics B 486(1-2), 114-130 (Elsevier BV) · 22 pages, revtex, a version to appear in Nuclear Physics B
arxiv created 1996/11/22 · openalex publication_date 1997/02/01 · arxiv updated 2010/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions for the static equations of motion, we find field redefinitions that nearly reduce these theories to the d-dimensional Einstein-Maxwell-Scalar theories, and therefore enable us to get the exact solutions. We do not make any assumption about the asymptotic space-time structure. As a result, our 4-dimensional solutions contain the asymptotically flat Garfinkle-Horowitz-Strominger (GHS) solutions and the non-asymptotically flat Chan-Horne-Mann (CHM) solutions. Besides, we find some new solutions with a finite range of allowed radius of the transversal sphere. These results generalize to an arbitrary space-time dimension d (d>3).