Multi-black Holes and Earthquakes on Riemann Surfaces with Boundaries

Multi Black Holes and Earthquakes on Riemann Surfaces with Boundaries

We prove an “Earthquake Theorem” for hyperbolic metrics with geodesic boundary on a compact surfaces S with boundary: any two points in the enhanced Teichmüller space of S are related by a unique right earthquake. The proof rests on the geometry of “multi-black holes”, which are 3-dimensional anti-de Sitter manifolds, topologically the product of a surface with boundary by an interval.

Black holes without boundaries

We discuss some of the drawbacks of using event horizons to define black holes and suggest ways in which black holes can be described without event horizons, using trapping horizons. We show that these trapping horizons give rise to thermodynamic behavior and possibly Hawking radiation too. This raises the issue of whether the event horizon or the trapping horizon should be seen as the true bou...

On black holes as inner boundaries for the constraint equations

General aspects of the boundary value problem for the constraint equations and their application to black holes are discussed.

Extremal Length and Removable Boundaries of Riemann Surfaces

On the question of trapped surfaces and black holes

There are many observational evidences for the detection of compact objects with masses significantly larger (in galactic cases) or much larger (in extragalactic cases) than the upper limits of masses of cold Neutron Stars. Such compact objects are commonly interpreted as Black Holes (BHs). However, we point out that while such Black Hole Candidates (BHCs) must be similar to BHs in many respect...