5 papers
Almost-splitting of spacetimes under timelike sectional curvature bounds
Nicola Gigli, Melanie Graf, Robert J. McCann +3
We establish an almost-splitting theorem for spacetimes under timelike sectional curvature bounds in the spirit of the celebrated Riemannian result due to Cheeger and Colding. More…
Conformal boundary rigidity from null geodesic travel times
Gabriel Paternain, Eric Woolgar
The gravitational field of a distant, isolated system is manifested by the conformally invariant Weyl tensor. Thus the conformal structure far from the system encodes the system's…
The Penrose singularity theorem, MOTS stability, and horizon topology in weighted spacetimes
Eric Ling, Argam Ohanyan, Eric Woolgar
We consider versions of the Penrose singularity theorem and the Hawking horizon topology theorem in weighted spacetimes that contain weighted versions of trapped surfaces, for arbi…
Extreme 5-dimensional black holes with SU(2)-symmetric horizons
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri +1
We show that the near horizon geometry of 5-dimensional extreme (i.e., degenerate) stationary vacuum black holes, with or without cosmological constant, whose event horizons exhibi…
Deformations of the Kerr-(A)dS Near Horizon Geometry
Eric Bahuaud, Sharmila Gunasekaran, Hari K Kunduri +1
We investigate deformations of the Kerr-(A)dS near horizon geometry and derive partial infinitesimal rigidity results for it. The proof comprises two parts. First, we follow the an…