XXXVIII International Workshop on High Energy Physics and Field Theory “Current issues in gravitation and cosmology”

Formation of a black hole and cosmologies in general relativity with a scalar field

24 нояб. 2026 г., 15:30

45m

Afternoon session 2

Speaker

Mikhail Katanaev (Steklov Mathematical Institute)

Описание

Abstract
New spherically symmetric smooth global solution of General Relativity with a scalar field is found. It is invariant under global Lorentz rotations. The geodesic equations admit four second rank involutive Killing tensors and are Liouville integrable. The scalar field potential is exponential. If the potential is bounded from below, solutions have cosmological interpretation. They can be transformed into the Friedmann form only inside the light cone. There is a naked singularity outside the light cone which attracts matter in the homogeneous and isotropic universe providing an accelerated expansion. There is no need to introduce dark matter. For the unbounded from below potential, solutions describe black hole formation. The horizon is dynamical: it arises as the infinitesimal sphere at a finite moment of time and then expands with the velocity of light.
Links
D.E. Afanasev, M.O. Katanaev. Phys.Lett. B864(2025)139439.
D.E. Afanasev, M.O. Katanaev. JCAP. 08(2025)045.
D.E. Afanasev, M.O. Katanaev. Phys.Lett. B879(2026)140660.