Please use this identifier to cite or link to this item:
Title: The Schwarzschild spacetime and cosmological constant, by constructing manifolds of revolution
Authors: Teo, Carmen Bin Jie
Keywords: Science::Physics
Issue Date: 2022
Publisher: Nanyang Technological University
Source: Teo, C. B. J. (2022). The Schwarzschild spacetime and cosmological constant, by constructing manifolds of revolution. Final Year Project (FYP), Nanyang Technological University, Singapore.
Abstract: Einstein’s theory of relativity provides a unified description of gravity as a ge- ometrical property of spacetime. However, Einstein’s equations in this theory are hard to solve as there are essentially 10 highly coupled second order partial differen- tial equations in 4 independent variables to solve. Most analytical solutions abuse properties such as symmetry, perturbations or approximation methods to attain a final solution. In this final year project, review some of the existing techniques used to solve Einstein’s field equation, as well as attempt to solve some cases of Einstein’s field equations through constructing a vacuum spacetime metric by generating man- ifolds of revolution around a curve.
Fulltext Permission: restricted
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Student Reports (FYP/IA/PA/PI)

Files in This Item:
File Description SizeFormat 
Carmen Teo FYP final version.pdf
  Restricted Access
458.1 kBAdobe PDFView/Open

Page view(s)

Updated on Jul 1, 2022


Updated on Jul 1, 2022

Google ScholarTM


Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.