47 citations · 157 across the 11 of their papers we have counts for
11 papers
Symmetry reduction of gravitational Lagrangians
Guillermo Frausto, Ivan Kolář, Tomáš Málek +1
We analyze all possible symmetry reductions of Lagrangians that yield fully equivalent field equations for any 4-dimensional metric theory of gravity. Specifically, we present a co…
Infinite derivative gravity resolves nonscalar curvature singularities
Ivan Kolář, Tomáš Málek
We explicitly demonstrate that the nonlocal ghost-free ultraviolet modification of general relativity (GR) known as the infinite derivative gravity (IDG) resolves nonscalar curvatu…
Propagators in AdS for higher-derivative and nonlocal gravity: Heat kernel approach
Ivan Kolář, Tomáš Málek
We present a new covariant method of construction of the (position space) propagators in the -dimensional (Euclidean) anti-de Sitter background for any gravitational theory with…
On well-posedness and algebraic type of the five-dimensional charged rotating black hole with two equal-magnitude angular momenta
Markus B. Fröb, Igor Khavkine, Tomáš Málek +1
We study various mathematical aspects of the charged rotating black hole with two equal-magnitude angular momenta in five dimensions. We introduce a coordinate system that is regul…
Exact gyratons in higher and infinite derivative gravity
Ivan Kolář, Tomáš Málek, Suat Dengiz +1
We study solutions describing spinning null sources called gyratons in generic theories of gravity with terms that are quadratic in curvature and contain an arbitrary number of cov…
Exact solutions of non-local gravity in a class of almost universal spacetimes
Ivan Kolář, Tomáš Málek, Anupam Mazumdar
We study exact solutions of the infinite derivative gravity with null radiation which belong to the class of almost universal Weyl type III/N Kundt spacetimes. This class is define…
Universal Walker metrics
Sigbjørn Hervik, Tomáš Málek
We consider four dimensional spaces of neutral signature and give examples of universal spaces of Walker type. These spaces have no analogue in other signatures in four dimensions…
Type II universal spacetimes
Sigbjørn Hervik, Tomáš Málek, Vojtěch Pravda +1
We study type II universal metrics of the Lorentzian signature. These metrics simultaneously solve vacuum field equations of all theories of gravitation with the Lagrangian being a…
Extended Kerr-Schild spacetimes: General properties and some explicit examples
Tomáš Málek
We study extended Kerr-Schild (xKS) spacetimes, i.e. an extension of the Kerr-Schild (KS) ansatz where, in addition to the null KS vector, a spacelike vector field appears in the m…
Type III and N solutions to quadratic gravity
Tomáš Málek, Vojtěch Pravda
We study exact vacuum solutions to quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N with an app…
Kerr-Schild spacetimes with (A)dS background
Tomáš Málek, Vojtěch Pravda
General properties of Kerr-Schild spacetimes with (A)dS background in arbitrary dimension are studied. It is shown that the geodetic Kerr-Schild vector k is a multiple WAND of the…