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Charged C-metric with conformally coupled scalar field

2009/06/30 by Christos Charmousis, C. Charmousis, T. Kolyvaris +3 · 65 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Event horizon #Naked singularity #Relativity and Gravitational Theory #Scalar (mathematics) #Scalar field #Singularity #Spacetime #gr-qc

paper · pdf · doi:10.1088/0264-9381/26/17/175012

published in Classical and Quantum Gravity 26(17), 175012 (IOP Publishing) · regular article, no figures, typos corrected, to appear in Classical and Quantum Gravity

arxiv created 2009/08/03 · openalex publication_date 2009/08/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a generalization of the charged C-metric conformally coupled with a scalar field in the presence of a cosmological constant. The solution is asymptotically flat or a constant curvature spacetime. The spacetime metric has the geometry of a usual charged C-metric with cosmological constant, where the mass and charge are equal. When the cosmological constant is absent it is found that the scalar field only blows up at the angular pole of the event horizon. The presence of the cosmological constant can generically render the scalar field regular where the metric is regular, pushing the singularity beyond the event horizon. For certain cases of enhanced acceleration with a negative cosmological constant, the conical singularity disappears altogether and the scalar field is everywhere regular. The black hole is then rather a black string with its event horizon extending all the way to asymptotic infinity and providing itself the necessary acceleration.

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