Transparent spheres as gravitational lenses

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφείς: Santiago-Leandro, Edwin, Mora-Chaverri, Alexander, Frutos-Alfaro, Francisco
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2025
Περιγραφή:In this work, we present a concise and educational study of gravitational lensing by transparent matter distributions. We focus on the calculation of image properties for several idealized mass profiles, including the uniform transparent sphere, the isothermal gas sphere, the non singular isothermal sphere, and the transparent King profile. Using numerical techniques and the XFGLenses software, we compute and visualize the resulting lensed images, along with the associated critical curves and caustics. The results are consistent with established theoretical predictions for transparent lenses, for example, the occurrence of an odd number of images, and the reduction of two images as the source crosses a caustic. The caustic geometries observed include diamond-shaped, elliptical, and lemniscate-like structures. Among the critical curves, ellipses were most commonly observed, while lemniscatelike forms emerged specifically in the transparent non-singular isothermal sphere case, in agreement with known behaviors in gravitational lensing by smooth matter distributions.
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Inglés
OAI Identifier:oai:portal.revistas.ucr.ac.cr:article/728
Διαθέσιμο Online:https://revistas.ucr.ac.cr/index.php/rmatematica/article/view/728
Λέξη-Κλειδί :Gravitational lensing
Numerical simulations
General relativity
Lentes gravitacionales
Simulaciones numéricas
Relatividad general