Thumbnail Image
Item

The Mathematical Framework of General Relativity

Citations
Altmetric:
Genre
Pre-print
Date
2026-01-07
Advisor
Committee member
Group
Department
Mathematics
Subject
General relativity (Physics)
 Einstein Field Equations
Permanent link to this record
https://scholarshare.temple.edu/handle/20.500.12613/11446
Collections
Undergraduate Works
Show all metadata
Files
Thumbnail Image
Bader-PrePrint-2026-01.pdf
Adobe PDF, 793.92 KB
Research Projects
Organizational Units
Journal Issue
DOI
https://doi.org/10.34944/hqfg-6k87
Abstract
General Relativity is founded on the axiomatic assumption that space and time together form a four-dimensional pseudo-Riemannian manifold known as spacetime. Within this framework, curvature is encoded by a metric tensor and its associated geometric quantities. This paper develops the mathematical foundations underlying general relativity by introducing line elements, metric tensors, and transition maps on smooth manifolds, and by verifying and discussing elementary solutions to the Einstein Field Equations.
Description
Citation
Bader, N. (2026). The Mathematical Framework of General Relativity [Preprint]. TUScholarShare. https://doi.org/10.34944/hqfg-6k87
Citation to related work
Has part
ADA compliance
For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
Embedded videos