79 citations · 286 across the 27 of their papers we have counts for
27 papers
Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space
Maciej Dunajski, Sebastian J. Szybka
We numerically study a formation of near extremal horizons from a gravitational collapse of radially symmetric gravitational waves in dimensions within the framework of pure…
Some inequalities among curvature invariants
Sebastian J. Szybka, Yaroslava Kravetska, Kornelia Nikiel
We prove an infinite sequence of inequalities among scalar polynomial invariants of symmetric rank-2 tensors of Segre types , , and . In particular, these inequalities a…
Backreaction of Halilsoy and Chandrasekhar waves
Sebastian J. Szybka, Adam A. Zychowicz, Dominika Hunik
We calculate the high-frequency limit of the Halilsoy and Chandrasekhar standing gravitational wave solutions. We show that the backreaction effect is the same for these classes of…
Halilsoy and Chandrasekhar standing gravitational waves in the linear approximation
Kornelia Nikiel, Sebastian J. Szybka
Halilsoy and Chandrasekhar cylindrical standing gravitational waves correspond to two different classes of solutions to the vacuum Einstein equations. Both families satisfy the def…
Chaos and Einstein-Rosen gravitational waves
Sebastian J. Szybka, Syed U. Naqvi
We demonstrate the existence of chaotic geodesics for the Einstein-Rosen standing gravitational waves. The complex dynamics of massive test particles are governed by a chaotic hete…
Example of cross-polarized standing gravitational waves
Krzysztof Głód, Szymon Sikora, Sebastian J. Szybka
We use a cosmological counterpart of the cylindrical Halilsoy solution to illustrate properties of cross-polarized standing gravitational waves.