2015/10/14 by Stoytcho S. Yazadjiev, Stoytcho Yazadjiev, Boian Lazov
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Dilaton #Einstein #Geometry #Gravitation #Mathematical physics #Mathematics #Maxwell's equations #Photon #Photon sphere #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar field #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.93.083002
published as Phys. Rev. D 93, 083002 (2016) · 18 pages
arxiv created 2015/10/14 · openalex publication_date 2016/04/05 · arxiv updated 2016/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the problem for the classification of static and asymptotically flat Einstein-Maxwell-dilaton spacetimes with a photon sphere. It is first proven that the photon spheres in Einstein-Maxwell-dilaton gravity have constant mean and constant scalar curvature. Then we derive some relations between the mean curvature and the physical characteristics of the photon spheres. Using further the symmetries of the dimensionally reduced Einstein-Maxwell-dilaton field equations we show that the lapse function, the electrostatic potential, and the dilaton field are functionally dependent in the presence of a photon sphere. Using all this we prove the main classification theorem by explicitly constructing all Einstein-Maxwell-dilaton solutions possessing a nonextremal photon sphere.