2006/09/20 by K. A. Bronnikov, К. А. Бронников, M. S. Chernakova +5
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Event horizon #Geometry #Gravitation #Gravitational collapse #Gravitational singularity #Horizon #Massless particle #Mathematical physics #Physics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #White hole #f(R) gravity #gr-qc
paper · pdf · doi:10.1142/s0218271808011845
published as Int.J.Mod.Phys.D17:25-42,2008 · 15 pages, latex
arxiv created 2006/09/20 · openalex publication_date 2008/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study Einstein gravity minimally coupled to a scalar field in a static, spherically symmetric space–time in four dimensions. Black hole solutions are shown to exist for a phantom scalar field whose kinetic energy is negative. These "scalar black holes" have an infinite horizon area and zero Hawking temperature and are termed "cold black holes" (CBHs). The relevant explicit solutions are well known in the massless case (the so-called anti-Fisher solution), and we have found a particular example of a CBH with a nonzero potential V(ϕ). All CBHs with V(ϕ) ≢ 0 are shown to behave near the horizon, quite similarly to those with a massless field. The above solutions can be converted by a conformal transformation to Jordan frames of a general class of scalar–tensor theories of gravity, but CBH horizons in one frame are in many cases converted to singularities in the other, which gives rise to a new type of conformal continuation.