15 citations · 80 across the 21 of their papers we have counts for
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Geometric origin of intrinsic rigidity for extremal horizons
Wojciech Kamiński, Adam Szereszewski
Our work clarifies the origin of enhanced symmetry of near horizon geometries. We relate this property to an existence of specific foliation by non-expanding horizons. The existenc…
Lie point symmetries of near-horizon geometry equation
Eryk Buk, Jerzy Lewandowski, Adam Szereszewski
All the Lie point symmetries of the near extremal horizon geometry equation, in the case of 4-dimensional Einstein vacuum spacetime with cosmological constant, are the diffeomorphi…
Extremal horizons stationary to the second order: new constraints
Maciej Kolanowski, Jerzy Lewandowski, Adam Szereszewski
We consider non-expanding shear free (NE-SF) null surface geometries embeddable as extremal Killing horizons to the second order in Einstein vacuum spacetimes. A NE-SF null surface…
Spacetimes foliated by non-expanding null surfaces in the presence of a cosmological constant
Jerzy Lewandowski, Adam Szereszewski
We prove that every solution to Einstein's equations with possibly non-zero cosmological constant that is foliated by non-expanding null surfaces transversal to a single non-expand…
The Near Horizon Geometry Equation on Compact 2-Manifolds Including the General Solution for g > 0
Denis Dobkowski-Ryłko, Wojciech Kamiński, Jerzy Lewandowski +1
The Near Horizon Geometry (NHG) equation with a cosmological constant Λ is considered on compact 2-dimensional manifolds. It is shown that every solution satisfies the Type D equat…
The Petrov type D equation on genus sections of isolated horizons
Denis Dobkowski-Ryłko, Wojciech Kamiński, Jerzy Lewandowski +1
The Petrov type D equation imposed on the 2-metric tensor and the rotation scalar of a cross-section of an isolated horizon can be used to uniquely distinguish the Kerr - (anti) de…
The axial symmetry of Kerr without the rigidity theorem
Jerzy Lewandowski, Adam Szereszewski
Local condition that imply the no-hair property of black holes are completed. The conditions take the form of constraints on the geometry of the 2-dimensional crossover surface of…
Near Horizon Geometries and Black Hole Holograph
J. Lewandowski, I. Racz, A. Szereszewski
Two quasi local approaches to black holes are combined: Near Horizon Geometries (NHG) and stationary Black Hole Holographs (BHH). Necessary and sufficient conditions on BHH data fo…
Spacetimes foliated by non-expanding and Killing horizons: higher dimension
Jerzy Lewandowski, Adam Szereszewski, Piotr Waluk
The theory of non-expanding horizons (NEH) geometry and the theory of near horizon geometries (NHG) are two mathematical relativity frameworks generalizing the black hole theory. F…
When Isolated Horizons met Near Horizon Geometries
Jerzy Lewandowski, Adam Szereszewski, Piotr Waluk
There are two mathematical relativity frameworks generalizing the black hole theory: the theory of isolated horizons (IH) and the theory of near horizon geometries (NHG). We outlin…
D-dimensional metrics with D-3 symmetries
A. Szereszewski, J. Tafel, M. Jakimowicz
Hidden symmetry transformations of D-dimensional vacuum metrics with D-3 commuting Killing vectors are studied. We solve directly the Einstein equations in the Maison formulation u…
From 2-Dimensional Surfaces to Cosmological Solutions
Adam Szereszewski, Jacek Tafel
We construct perfect fluid metrics corresponding to spacelike surfaces invariant under a 1-dimensional group of isometries in 3-dimensional Minkowski space. Under additional assump…
Perfect Fluid Spacetimes With Two Symmetries
Adam Szereszewski, Jacek Tafel
A method of solving perfect fluid Einstein equations with two commuting spacelike Killing vectors is presented. Given a spacelike 2-dimensional surface in the 3-dimensional nonphys…