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BIMSA General Relativity Seminar
Invariant Definition of Photon Surfaces in General Relativity
Invariant Definition of Photon Surfaces in General Relativity
Organizers
Speaker
Time
Monday, September 2, 2024 3:30 PM - 4:30 PM
Venue
Online
Online
Zoom 559 700 6085
(BIMSA)
Abstract
In this talk, I will define the photon surface conditions using Cartan scalars within an invariant spin frame which offers a comprehensive description of the local spacetime geometry. By employing this approach, one can gain novel insights into the geometry and dynamics of photon surfaces, independent of the global spacetime structure. I will first discuss the photon surface conditions in a Petrov type-D spacetime manifold, and then I simplify those conditions assuming the existence of spherical symmetry. Finally, employing the simplified, spherically symmetric photon surface conditions, I will show the dynamics of photon surfaces in static spacetimes and collapsing Lemaitre-Tolman-Bondi (LTB) spacetimes and Vaidya spacetimes.
Speaker Intro
Dipanjan Dey is a postdoctoral fellow at BIMSA, working under the guidance of Professor Shing-Tung Yau and Professor Lars Andersson. His research focuses on gravitational collapse, the causal structure of spacetime singularities, and the spinor structure of spacetime manifolds.