5 papers
Who's afraid of a negative lapse?
Robert Beig, Piotr T. ChruÅciel, Wan Cong
We rederive the Arnowitt-Deser-Misner equations in a framework in which the zeros of the lapse are innocuous, whether with or without changes of sign. We further develop and analys…
Kerr-AdS type higher dimensional black holes with non-spherical cross-sections of horizons
Piotr T. ChruÅciel, Wan Cong, Finnian Gray
We construct, in even spacetime dimensions, a family of singularity-free Kerr-Anti-de Sitter-like black holes with negatively curved cross-sections of conformal infinity and non-sp…
Cauchy problems for Einstein equations in three-dimensional spacetimes
Piotr T. ChruÅciel, Wan Cong, Théophile Quéau +1
We analyze existence and properties of solutions of two-dimensional general relativistic initial data sets with a negative cosmological constant, both on spacelike and characterist…
Elastically induced phase-shift and birefringence in optical fibers
Elisabeth Steininger, Thomas Mieling, Piotr T. ChruÅciel
We compute how elastic deformations of optical fibers affect light propagation therein. Specifically, we consider differences in wave-guiding properties of straight fibers subject…
Thomas-Wigner rotation via Clifford algebras
Piotr T. ChruÅciel, Helmuth Urbantke
We derive Macfarlane's formula for the Thomas-Wigner angle of rotation using Clifford-algebra methods. The presentation is pedagogical and elementary, suitable for students with so…