2015/12/31 by G. Koutsoumbas, George Koutsoumbas, Konstantinos Ntrekis +2 · 14 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Einstein #Einstein tensor #General relativity #Geometry #Gravitation #Gravitational collapse #Gravitational singularity #Mathematical analysis #Mathematical physics #Mathematics #Naked singularity #Physics #Quantum mechanics #Riemann curvature tensor #Scalar (mathematics) #Scalar field #Scalar–tensor theory #Schwarzschild metric #Singularity #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.95.044009
published in Physical review. D/Physical review. D. 95(4) (American Physical Society) · Title changed. Major revision. A section with a detailed discussion of matching conditions was added. To appear in PRD. arXiv admin note: text overlap with arXiv:gr-qc/0501013 by other authors
arxiv created 2017/01/27 · openalex publication_date 2017/02/08 · arxiv updated 2017/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the gravitational collapse of a homogeneous time-dependent scalar field that, besides its coupling to curvature, is also kinematically coupled to the Einstein tensor. This coupling is a part of the Horndeski theory and we investigate its effect on the collapsing process. We find that the time required for the scalar field to collapse depends on the value of the derivative coupling and the singularity is protected by a horizon. Matching the internal solution with an external Schwarzschild-anti--de Sitter metric we show that a black hole is formed, while the weak energy condition is satisfied during the collapsing process. The scalar field takes on a finite value at the singularity.