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The Art of Gluing Space-Time Manifolds: Methods and Applications de Samad Khakshournia

The Art of Gluing Space-Time Manifolds: Methods and Applications: SpringerBriefs in Physics

Autor Samad Khakshournia, Reza Mansouri
en Limba Engleză Paperback – 20 dec 2023
This concise book reviews methods used for gluing space-time manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two space-time manifolds from the early times of general relativity up to now.
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Specificații

ISBN-13: 9783031486111
ISBN-10: 3031486110
Pagini: 122
Ilustrații: VIII, 122 p. 1 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.2 kg
Ediția:1st ed. 2023
Editura: Springer Nature Switzerland
Colecția Springer
Seria SpringerBriefs in Physics

Locul publicării:Cham, Switzerland

Cuprins

1 Introduction.- 2 Definition of the Problem and Junction Conditions.- 3 Gauss-Kodazzi Approach.- 4 Distributional Approach. 5 Null shells. 

Notă biografică

Samad Khakshournia is an associate professor at the Nuclear Science and Technology Research Institute (NSTRI) where he has been a faculty member since 2006. He obtained his PhD from Sharif University of Technology in theoretical physics, specializing in general relativity and cosmology in 2002. The title of his thesis was “Thin shells in general relativity and cosmology” under supervision of Professor Reza Mansouri. His thesis was focused on the sign of extrinsic curvature of the embedding hypursurface and its impact on gluing spacetimes manifolds. Since then, he has worked on the subject, among others, mainly in collaboration with Prof. Mansouri.
Understanding our dynamical universe and it's compact but not-singular structures has always been the professional hobby of Reza Mansouri, a professor of physics at Sharif University of Technology, Tehran. Being graduated from Vienna University, he started using various mathematical techniques to study compact one-, two-, or three- dimensional structures as early as the early 1990s. Following the development of problem-setting and solving techniques within the community, his group has not ceased to continue understanding and shedding light to the issue of glued space-time manifolds, with any embedded structure being it space/time- or light-like, and in any spacetime dimension or any area of physics. 



Textul de pe ultima copertă

This concise book reviews methods used for gluing space-time manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two space-time manifolds from the early times of general relativity up to now.

Caracteristici

Fills a gap in books on glueing space-time manifolds in physics, cosmology, and string theory Reviews the history of matching conditions between two space-time manifolds Targeted at graduate students and researchers interested in theoretical cosmology