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

Author:   Samad Khakshournia ,  Reza Mansouri
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2023
ISBN:  

9783031486111


Pages:   122
Publication Date:   20 December 2023
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Art of Gluing Space-Time Manifolds: Methods and Applications


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Overview

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.

Full Product Details

Author:   Samad Khakshournia ,  Reza Mansouri
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2023
Weight:   0.213kg
ISBN:  

9783031486111


ISBN 10:   3031486110
Pages:   122
Publication Date:   20 December 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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

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Author Information

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. 

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