8 papers
Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries
Aimeric Colléaux, Ivan KoláÅ, Tomáš Málek
We classify 4-dimensional gravitational theories with integrability properties analogous to quasi-topological gravity, but for metrics with the symmetries of spherical, hyperbolic,…
Static spherically symmetric Kundt vacuum solutions of higher-derivative gravities
Breno L. Giacchini, Ivan KoláÅ, VojtÄch Pravda +1
We study static spherically symmetric Kundt solutions to the vacuum field equations of quadratic gravity with a cosmological constant, as well as specific models of six-derivative…
Canonical quantization of all minisuperspaces with consistent symmetry reductions
Poula Tadros, Ivan KoláÅ, Otakar SvÃtek
We present the quantization of all symmetry reductions of the Einstein--Hilbert Lagrangian that correctly reproduce the reduced Einstein's field equations -- i.e., characterized by…
Neglected solutions in quadratic gravity
Breno L. Giacchini, Ivan KoláÅ
We report on several previously overlooked families of static spherically symmetric solutions in quadratic gravity. Our main result concerns the existence of solutions whose leadin…
Double Wick rotations between symmetries of Taub-NUT, near-horizon extreme Kerr, and swirling spacetimes
Aimeric Colléaux, Ivan KoláÅ, Tomáš Málek
We explicitly show that certain 4-dimensional infinitesimal group actions with 3-dimensional orbits are related by double Wick rotations. In particular, starting with the symmetrie…
Black holes and other exact solutions in six-derivative gravity
Breno L. Giacchini, Ivan KoláÅ
We study exact static spherically symmetric vacuum solutions in generic six-derivative gravity (i.e., without assuming specific relations between the coupling constants). Using mod…