Τοπικές λύσεις στην Complete Brans-Dicke  θεωρία

Βλάχος, Χριστόφορος; Vlachos, Christoforos

dc.contributor.author	Βλάχος, Χριστόφορος	el
dc.contributor.author	Vlachos, Christoforos	en
dc.date.accessioned	2019-04-02T08:46:59Z
dc.date.available	2019-04-02T08:46:59Z
dc.date.issued	2019-04-02
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/48566
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.9366
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Φυσική και Τεχνολογικές Εφαρμογές”	el
dc.rights	Default License
dc.subject	Γενική σχετικότητα	el
dc.subject	Βαρύτητα	el
dc.subject	Μελανές οπές	el
dc.subject	Μαύρες τρύπες	el
dc.subject	Σκουλικότρυπες	el
dc.subject	Modified gravity	en
dc.subject	Black holes	el
dc.subject	Local solutions	el
dc.subject	Wormholes	el
dc.subject	Theoretical physics	el
dc.title	Τοπικές λύσεις στην Complete Brans-Dicke θεωρία	el
dc.title	Local Solutions in Complete Brans-Dicke theory	en
heal.type	masterThesis
heal.classification	ΦΥΣΙΚΗ ΜΕΛΑΝΩΝ ΟΠΩΝ	el
heal.classification	ΓΕΝΙΚΗ ΣΧΕΤΙΚΟΤΗΤΑ ΚΑΙ ΒΑΡΥΤΗΤΑ	el
heal.classification	ΒΑΡΥΤΗΤΑ	el
heal.classification	Θεωρητική φυσική	el
heal.classificationURI	http://data.seab.gr/concepts/2f4af87dfd67a2385a4e30cfbd4d57d669853135
heal.classificationURI	http://data.seab.gr/concepts/c94fc33eba1cd953b0edc5227f0628025f2fd1e0
heal.classificationURI	http://data.seab.gr/concepts/9bab51b354b67876c6284de28df0e549940fb873
heal.language	el
heal.language	en
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2018-10-15
heal.abstract	The present thesis mainly consists of two separate parts. The rst part introduces and elaborates on the mathematical apparatus needed in order for one to begin studying the General Theory of Relativity(GR). We try to cover a decent part of old and modern differential geometry (at least those subjects that are crucial to the understanding of the last chapters of this thesis), in order to give a consistent bottom to top (as from structurally poorest to richest notions) image of the geometry of, what we call, spacetime. That is why we begin by rigorously defining topological spaces in the first chapter. In the next few chapters, we equip these topological spaces with extra structure and properties until they are upgraded into smooth manifolds which is the basic mathematical ingredient one needs so as to built GR upon it. Along the way, various pictures and diagrams are being provided in order to help the reader in an intuitive manner. We also try to emphasize in the relation between purely mathematical definitions/properties and their physical consequences wherever possible. In the last few chapters of the first part, physics comes into play in an increasing way since the majority of the necessary mathematical tools has already been presented. The part closes with the introduction of General Relativity and the derivation of Einstein's equations using the variational principle i.e. the "Hilbert" way. The second part of this thesis is mostly based on a research project that was carried out by me and the professors E.Papantonopoulos, G.Kofinas. The main object of this part is the careful examination and analysis of a local solution based on a modified gravity model The Complete Brans-Dicke Theory. The task was to find whether the solution can describe a new class of black hole solutions or if it just reproduces the already known solutions of scalar-tensor gravity. The analysis of metric components, areal radius and scalar curvature is been carried out mostly in the isotropic chart. Furthermore, due to the fact that the transformation to Schwarzschildlike coordinates does not exist, we express the metric functions in terms of the conformal factor in an attempt to undrestand whether the solution is horizonless or not. In any case, the new parameter "ν" of the model does not play a crucial role in the behaviour of the solution as it just defining the scale of the theory.	en
heal.advisorName	Παπαντωνόπουλος, Ελευθέριος	el
heal.committeeMemberName	Παπαντωνόπουλος, Ελευθέριος	el
heal.committeeMemberName	Κουτσούμπας, Γεώργιος	el
heal.committeeMemberName	Ήργες, Νίκος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Εφαρμοσμένων Μαθηματικών και Φυσικών Επιστημών	el
heal.academicPublisherID	ntua
heal.numberOfPages	135 σ.	el
heal.fullTextAvailability	true