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

Session

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

2 Jul 2026, 10:35

A106 (Physicum, University of Tartu)

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.

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

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

02/07/2026, 10:35

Oral talk

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...