Modified Theories of Gravity

الموضوعات

علوم بحتة وطبيعية

الملخص

This dissertation is composed of three parts. The first presents the model of unification of Chern-Simons gauge theories and Chern-Simons gravity in 3D space-time. The second is constructing Hamiltonian formulation of ghost free mimetic massive gravity theory. The third is studying the surface terms of mimetic Horava gravity theory. By enlarging the tangent group, we are able to unify Chern-Simons gauge theory and Chern-Simons gravity in 3D space-time. Either we start working with pontryagin densities in 4D space-time or we start directly considering Chern-Simons actions in 3D space-time. Such unification leads to the quantization of the coefficients for both Chern-Simons terms for compact groups but not for non-compact groups. Moreover, it leads to a topological invariant quantity of the 3D spacetime manifold on which they are defined.For the second topic, we construct the Hamiltonian of ghost free mimetic massive gravity. The linearized theory is studied and the Hamitlonian equations of vii motion are analyzed. Poisson brackets are computed also and closure is proved. The second order scalar Hamiltonian is examined proving that the energy density of mimetic term is indeed positive.The third topic is related to mimetic Horava gravity. It is shown that the surface terms resulting from the variation of the mimetic Horava action constructed will cancel out; therefore, there is no need for the addition of Gibbons-Hawking-York boundary term.

روابط وملفات

التعريف والنوع

رقم الوثيقة

00ee7097-c11a-4c8d-ae8c-ebe9480a9483

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل دكتوراة

نوع الملف

pdf text

أسماء الملفات

2025974_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Chireen Ahmad Saghir","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"على شمس الجين","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Modified Theories of Gravity

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

على شمس الجين

الإعداد

Chireen Ahmad Saghir

الاقتباسات الببليوغرافية