Atlantic General Relativity 2024

Session

Session 1.2

18 Jun 2024, 11:00

205 (Tilley Hall, University of New Brunswick)

12. Invariant Characterization and its Applications

Nicholas Layden

18/06/2024, 11:00

Oral

We begin by discussing the Cartan-Karlhede algorithm, and its use in characterizing spacetimes, through the aid of the Newman Penrose formalism. We then introduce some ideas based on the invariant properties of a spacetime, like the geometric horizon conjecture, and how such surfaces are defined in terms of Cartan scalars, and how these are sometimes connected with the conventional notion of a...

15. EIGENVALUE SPECTRUM OF STABILITY OPERATORS FOR MARGINALLY OUTER TRAPPED SURFACES IN WEYL-DISTORTED SCHWARZSCHILD BLACKHOLES

Chiamaka Mary Okpala (Memorial University of Newfoundland)

18/06/2024, 11:30

Oral

Abstract:
Marginally outer trapped surfaces (MOTS) are surfaces from which outgoing light rays neither converge nor diverge. In recent years they have been found to be a key tool for understanding black hole geometries. In particular, the stability operator provides information as to whether the MOTS bounds a trapped region. This study investigates the eigenvalue problem associated with the...

2. Power-law spacetime in terms of (2+1)-dimensional light-cone cuts and metricity conditions

Tina Harriott (Mount Saint Vincent University)

18/06/2024, 12:00

Oral

The null-surface formulation (NSF) of general relativity is equivalent to standard general relativity but uses null surfaces instead of a metric or a connection. The NSF, itself, exists in two distinct but mathematically equivalent versions: (a) Future-directed light rays leave a spacetime point and intersect null-infinity. The resulting light-cone cut encodes the properties of the spacetime;...