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Spontaneous vectorization of electrically charged black holes

2020/12/14 by João M. S. Oliveira, Alexandre M. Pombo · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Einstein #Electric field #Exponential function #Geometry #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Vector field #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.103.044004

published as Phys. Rev. D 103, 044004 (2021) · 12 pages, 5 figures

arxiv created 2020/12/14 · openalex publication_date 2021/02/01 · arxiv updated 2021/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this work, we generalize the spontaneous scalarization phenomena in Einstein-Maxwell-scalar models to a higher spin field. The result is an Einstein-Maxwell-vector model wherein a vector field is nonminimally coupled to the Maxwell invariant by an exponential coupling function. We show that the latter guarantees the circumvention of an associated no-hair theorem when the vector field has the form of an electric field. Different than its scalar counterpart, the new spontaneously vectorized Reissner-Nordstr"om (RN) black holes are, always, undercharged while being entropically preferable. The solution profile and domain of existence are presented and analyzed.

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