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العنوان
Problems of Geometric Field Theories \
المؤلف
Mahmoud, Mona Mahmoud Kamal.
هيئة الاعداد
باحث / منى محمود كمال محمود
مشرف / ممدوح أسحق ونس
مشرف / سامية سعيد العزب
مناقش / ممدوح أسحق ونس
تاريخ النشر
2015.
عدد الصفحات
143 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الإحصاء والاحتمالات
تاريخ الإجازة
1/1/2015
مكان الإجازة
جامعة عين شمس - كلية البنات - الرياضيات
الفهرس
Only 14 pages are availabe for public view

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from 143

Abstract

The thesis contains mainly three Chapters, English and Arabic
summaries, two figures, nine tables and a list of references.
Chapter 1: GEOMETRY AND FIELD THEORIES
This Chapter reviews briefly three types of geometries usually
used in constructing field theories. For each type we give a
sample of theories constructed in its context, together with a critical
review of problems and disadvantages of the geometry used
and field theories given. We start by giving the main features of
Riemannian geometry and theories constructed in its context, including
the standard theory for gravity, GR. Then we give a brief
account on the AP-geometry and a sample of theories written in
this geometry. The third type of geometry given in this Chapter is
Riemann-Cartan geometry together with Einstein’s unified field
theory constructed in this geometry. This Chapter is terminated
by a general discussion and aim of the work.
Chapter 2: A SUGGESTED THEORY IN PAP-GEOMETRY
This Chapter contains some details about a more wider geometry
than both Riemannian and AP-geometries. Also, it is
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shown that this geometry is of the Riamann-Cartan type. The
Chapter contains the derivation of a set of field equations using
an action principle. The action used is constructed from the BB
of the PAP-geometry. The equations of motion of the suggested
theory is derived using the Bazanski approach (the path equation
of the PAP-geometry). The Chapter is terminated by a discussion
comparing the suggested field theory with GR.
Chapter 3: EXTRACTION OF PHYSICS
In this Chapter, three different methods are used to extract
physics from the pure geometric objects of the suggested field theory.
The first method comprises a comparison between the suggested
theory and non-linear field theories. The second method
used admits a comparison between the linearized form of the suggested
theory and linear field theories. The comparisons fix the
geometric objects responsible for, gravitational potential, electromagnetic
potential, material and charge distributions and other
physical objects. The third method is used in the transition phase
from theory to physical applications. The Chapter contains the
spherically symmetric application of the theory which gives the
well known Schwarzschild exterior field as a unique solution of
the field equations in the case of pure gravity in free space. The
Chapter is terminated by a general discussion and some concluding
remarks and suggestion for future work.