2020/07/31 by Sigbjørn Hervik, Marcello Ortaggio · 4 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Ansatz #Base (topology) #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #General relativity #Invariant (physics) #Scalar (mathematics) #Space (punctuation) #Space time #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-020-08571-x
published in The European Physical Journal C 80(11) (Springer Science+Business Media) · 15 pages. v2: typos fixed, minor improvements to the text, refs. added
openalex created_date 2020/07/16 · openalex publication_date 2020/11/01 · arxiv created 2020/11/11 · arxiv updated 2020/11/12 · openalex updated_date 2026/08/05
Abstract We explore how far one can go in constructing d -dimensional static black holes coupled to p -form and scalar fields before actually specifying the gravity and electrodynamics theory one wants to solve. At the same time, we study to what extent one can enlarge the space of black hole solutions by allowing for horizon geometries more general than spaces of constant curvature. We prove that a generalized Schwarzschild-like ansatz with an arbitrary isotropy-irreducible homogeneous base space (IHS) provides an answer to both questions, up to naturally adapting the gauge fields to the spacetime geometry. In particular, an IHS–Kähler base space enables one to construct magnetic and dyonic 2-form solutions in a large class of theories, including non-minimally couplings. We exemplify our results by constructing simple solutions to particular theories such as R2 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>R</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> , Gauss–Bonnet and (a sector of) Einstein–Horndeski gravity coupled to certain p -form and conformally invariant electrodynamics.