GeomGravX: 10 Years of Geometric Foundations of Gravity and eXtensions (in Tartu)

Charged asymptotically flat and asymptotically (A)dS black holes in quadratic gravity

Not scheduled

20m

A106 (Physicum, University of Tartu)

Oral talk

Speaker

Vojtech Pravda (Institute of Mathematics of the Czech Academy of Sciences)

Description

We study static, spherically symmetric, asymptotically flat and asymptotically (A)dS charged black holes in quadratic gravity. Using the conformal-to-Kundt method, we simplify the field equations and derive the solutions in the form of a power series with coefficients determined by a recurrent formula. In addition to charge and mass, these black holes possess one additional parameter – the Bach parameter, corresponding to the value of an invariant of the Bach tensor on the horizon. In the asymptotically flat case, this Bach parameter has to be fine-tuned in order to achieve asymptotic flatness. In contrast, for the asymptotically (A)dS case, there exist parameter regions (specifically for a sufficiently large cosmological constant) where this fine-tuning is not necessary, and the Bach parameter becomes a new, free parameter of the black hole.

Based on: Phys. Rev. D 110 (2024) 4, 044069, and Phys. Rev. D 113 (2026) 2, 024040