6 papers
Hierarchical formulation of the self-gravitating, n-dimensional, charged scalar field in spherical symmetry in affine null formalism
Laura Bridera, Emanuel Gallo, Thomas Mädler
We develop an affine-null characteristic formulation of the Einstein-Maxwell system coupled to a charged complex scalar field in -dimensional spherical symmetry. By introducing…
Fast and accurate analytical formulas for light propagation in general static, spherically symmetric spacetimes
Jonathan Claros, Emanuel Gallo
In this article, we extend our previously presented analytical formulas (Phys.Rev.D 109 (2024) 12, 124055) for describing light rays passing near or emitted in the vicinity of comp…
Pfaffian Systems, Cartan Connections, and the Null Surface Formulation of General Relativity
Emanuel Gallo, Carlos N. Kozameh
This review examines the role of differential forms, Pfaffian systems, and hypersurfaces in general relativity. These mathematical constructions provide the essential tools for gen…
Conformal compactification and affine-null metric formulation of the Einstein equations
Thomas Mädler, Emanuel Gallo
In principle, global properties of solution of Einstein equations need to be addressed using the conformal Einstein equations, because this conformal compactification allows a clea…
Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry
Thomas Mädler, Radouane Gannouji, Emanuel Gallo
The characteristic initial boundary problem is discussed in spherical symmetry for the Einstein-Maxwell-scalar field equations. It is formulated for an affine-null metric and the r…
Bounds for Lyapunov exponent of circular light orbits in black holes
Emanuel Gallo, Thomas Mädler
Chaotic systems near black holes satisfy a universal bound, linking the Lyapunov coefficient associated with unstable orbits to surface gravity of the eve…