Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Calendar
Search
Add a seminar

RSS
Forthcoming seminars




Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
June 22, 2022 14:00, Moscow, online
 


Geometric approach to the theory of photon manifolds in gravitational fields

K. V. Kobyalko

Lomonosov Moscow State University
Video records:
MP4 335.1 Mb

Number of views:
This page:243
Video files:47



Abstract: Various geometric problems that arise in the context of studies of the effects of strong gravitational lensing in the vicinity of black holes and other ultracompact objects are discussed. To analyze existing issues, we develop and generalize the main methods and ideas of the theory of photon surfaces. In particular, we define and study the geometric and physical properties of fundamental photon submanifolds, which are a natural generalization of the photon sphere in the Schwarzschild metric to the case of an arbitrary stationary geometry. The new photon surfaces are defined as Lorentzian submanifolds for which the classical umbilical condition is restricted to a tangent bundle of the class of geodesics with a given impact parameter. These objects have a number of useful analytical characteristics and are suitable for the analysis and classification of shadows and relativistic images in spaces with non-integrable geodesic equations. We also analyze the relationship between a new type of photon manifolds and the existence of Killing tensor fields of the second rank.
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024