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gr-qc2025
Extremal isolated horizons of the NUT type
Eryk Buk, Denis Dobkowski-Ryłko, Jerzy Lewandowski +1
We provide a construction of a new class of axisymmetric extremal isolated horizons admitting a structure of U(1)-principal fiber bundle over a two-sphere. In contrast to the previ…
gr-qc2020
Axisymmetric, extremal horizons in the presence of a cosmological constant
Eryk Buk, Jerzy Lewandowski
All axisymmetric solutions to the near-horizon geometry equation with a cosmological constant defined on a topological -sphere were derived. The regularity conditions preventing…
gr-qc2020
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…