5 citations · 11 across the 8 of their papers we have counts for
8 papers
Geometrically defined asymptotic coordinates in General Relativity
Carla Cederbaum, Jan Metzger
We review and announce recent results on the asymptotic behavior of asymptotically Euclidean relativistic initial data sets and asymptotic foliations thereof. In particular, we dis…
Trapped photon region in the phase space of sub-extremal Kerr-Newman and Kerr-Sen spacetimes
Carla Cederbaum, Karim Mosani
We analyse the geometry and topology of the trapped photon region in the domain of outer communication of sub-extremal Kerr-Newman and Kerr-Sen spacetimes. Specifically, we show th…
Uniqueness of equipotential photon surfaces in 4-dimensional static vacuum asymptotically flat spacetimes for positive, negative, and zero mass -- and a new partial proof of the Willmore inequality
Carla Cederbaum, Albachiara Cogo, Axel Fehrenbach
We present different proofs of the uniqueness of 4-dimensional static vacuum asymptotically flat spacetimes containing a connected equipotential photon surface or in particular a c…
Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in dimensions à la Robinson
Carla Cederbaum, Albachiara Cogo, Benedito Leandro +1
In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole s…
A new proof of the Willmore inequality via a divergence inequality
Carla Cederbaum, Anabel Miehe
We present a new proof of the Willmore inequality for an arbitrary bounded domain with smooth boundary. Our proof is based on a parametric geometric inequa…
Black Hole and Equipotential Photon Surface Uniqueness in 4-dimensional Asymptotically Flat Electrostatic Electro-Vacuum Spacetimes
Stefano Borghini, Carla Cederbaum, Albachiara Cogo
We study 4-dimensional asymptotically flat electrostatic electro-vacuum spacetimes with a connected black hole, photon sphere, or equipotential photon surface inner boundary. Our a…
On equipotential photon surfaces in (electro-)static spacetimes of arbitrary dimension
Carla Cederbaum, Sophia Jahns, Olivia Vičánek Martínez
We study timelike, totally umbilic hypersurfaces -- called photon surfaces -- in -dimensional static, asymptotically flat spacetimes, for . First, we give a complete…
Some new perspectives on the Kruskal--Szekeres extension with applications to photon surfaces
Carla Cederbaum, Markus Wolff
It is a well-known fact that the Schwarzschild spacetime admits a maximal spacetime extension in null coordinates which extends the exterior Schwarzschild region past the Killing h…