Data di Pubblicazione:
2018
Citazione:
SYMMETRIES AND BLACK HOLESIN N = 2GAUGED SUPERGRAVITY / M. Rabbiosi ; supervisor: D. Klemm ; external referees: C. Toldo, G. Inverso. DIPARTIMENTO DI FISICA, 2018 Jan 26. 30. ciclo, Anno Accademico 2017. [10.13130/rabbiosi-marco_phd2018-01-26].
Abstract:
The main goal of this work is to explore the role and the power of the Hamilton-Jacobi
approach and solutions generating techniques to search black hole solutions in abelian
gauged supergravity theories. After a brief introduction explaining how supergravity
arises as effective theory of superstrings, a chapter is devoted to the detailed description
of N = 2 abelian gauged supergravity in d = 4 and d = 5.
The study of the equations of motion with general matter coupling for static black hole
solutions is developed with Hamilton-Jacobi approach and new first order sets of equa-
tions are presented [1, 2] extending well-known BPS sets [3, 4]. In d = 5 the equations
are completely solved for the STU model with constant hypermultiplets and a solution
generalizing Maldacena-Nunez black string [4] is found [5].
Then the attention is focused on some integrability properties of minimal gauged super-
gravity in d = 4 [6] and Einstein-Maxwell-Lambda system in d dimensions [7]. Always
with Hamilton-Jacobi technique, studying the symmetries of the systems the dynamics
is solved algebraically for some sets of solutions.
For holographic calculations the attractor points deserve particular attention and there-
fore I explain their definition for the cases AdS 2 × Σ 2 and AdS 3 × Σ 2 and the calculation
of the entropy and the central charge in general matter coupled supergravities. More-
over, Freudenthal duality is extended to the abelian gauged case and general matter
coupling [8].
The last part is dedicated to the introduction of a solution generating technique based on
group theory in FI d = 4 supergravity. Many examples with the simplest prepotentials
are shown [9]. With the help of dimensional reduction this solution generating technique
is used to produce a rotating black string in d = 5 [5].
Tipologia IRIS:
Tesi di dottorato
Keywords:
black holes; symmetries; supergravity
Elenco autori:
M. Rabbiosi
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