dc.contributor.author |
Bu Taam, Maryam Ali |
dc.date.accessioned |
2017-08-30T14:29:16Z |
dc.date.available |
2017-08-30T14:29:16Z |
dc.date.issued |
2016 |
dc.date.submitted |
2016 |
dc.identifier.other |
b1845219x |
dc.identifier.uri |
http://hdl.handle.net/10938/11167 |
dc.description |
Thesis. M.S. American University of Beirut. Department of Physics, 2016. T:6366 |
dc.description |
Advisor : Dr. Wafic Sabra, Professor, Physics ; Members of Committee : Dr. Khalil Bitar, Professor, Physics ; Dr. Mohammad El Smaily, Assistant Professor , Mathematics. |
dc.description |
Includes bibliographical references (leaves 66-68) |
dc.description.abstract |
Not only are black holes important objects in the field of gravitational physics, but also in studying other branches of physics such as quantum field theory [1], condensed matter physics and material science [2]. Within supergravity theories, black holes are considered as solutions of the low energy supergravity theories originating via compactification of the M-theory, and they can, in principle, be lifted to solutions in higher dimensions. In recent years, there has been a lot of research activities in physics and mathematics on the subject of finding and classifying black hole solutions and gravitational instantons admitting various fractions of supersymmetry (see for example [3], [4] and [5]). Supersymmetric solutions are those admitting Killing spinors, i.e., covariantly constant spinors with respect to the supercovariant connection. My thesis is based on learning spinorial geometry [6], a powerful method used in classifying and finding supersymmetric solutions in supergravity theories. We, specifically, discuss the ordinary and the fake N=2, D=4 supergravity theories coupled to vector multiplets. In the fake theory, the gauge fields have kinetic terms with a sign opposite to that present in the ordinary case. We solve the Killing spinor equations for the standard and the fake theories in a linked manner by introducing a parameter κ. The solutions found are fully determined in terms of algebraic conditions, the stabilisation equations, in which the symplectic sections are related to a set of functions. These functions are harmonic in the case of the ordinary supergravity theory and satisfy the wave-equation in flat (2+1)-space-time in the fake theory. |
dc.format.extent |
1 online resource (viii, 68 leaves) |
dc.language.iso |
eng |
dc.relation.ispartof |
Theses, Dissertations, and Projects |
dc.subject.classification |
T:006366 |
dc.subject.lcsh |
Supergravity. |
dc.subject.lcsh |
Supersymmetry. |
dc.title |
Supersymmetric gravitational solutions in N=2 supergravity theories - |
dc.type |
Thesis |
dc.contributor.department |
Faculty of Arts and Sciences |
dc.contributor.department |
Department of Physics |
dc.contributor.institution |
American University of Beirut |