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Solution Methodology in higher Dimensional Extended Einstein Theory

Date

2024-04-17

Journal Title

Journal ISSN

Volume Title

Publisher

ORCID

0009-0002-8479-7370

Type

Thesis

Degree Level

Doctoral

Abstract

Research in quantum gravity presents us with a rich set of problems that challenge established solution methodologies. It is often helpful to understand these theories in their low energy limit to help us better understand their connection to classical general relativity. This often requires including additional fields or dimensions into the classical picture. It is then necessary to examine a variety of analytical and numerical techniques for solving these complex higher-dimensional problems under extended Einstein gravity. This research will take a strong focus on the methodology in use within the field today and apply it to find new solutions for a sampling of non-trivial problems. In the course of this investigation, this thesis will also establish the necessary background to put those solutions into physical context. This thesis discusses methodologies applied in the field today with some modification, gives a collection of new solutions to various problems, and covers the background necessary to address those problems in a meaningful way.

Description

Keywords

Gravitation, Quantum Gravity, Alternative Gravity Theories, General Relativity, Numerical Relativity

Citation

Degree

Doctor of Philosophy (Ph.D.)

Department

Physics and Engineering Physics

Program

Physics

Advisor

Part Of

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DOI

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