Original title: Zobecněná metrika a gravitace
Translated title: Generalized metric and gravity
Authors: Vrábel, Juraj ; Jurčo, Branislav (advisor) ; Vysoký, Jan (referee)
Document type: Bachelor's theses
Year: 2014
Language: eng
Abstract: [eng] [cze]
Based on the knowledge from differential geometry, the generalized geometry is introduced. As a consequence of the symmetries in this new geometry, a B-field, known from the string theory, inherently emerges. Generalized metric based on ordinary metric tensor and the B-field will be established as well. This allows to construct connection in the framework of generalized geometry and develop a Riemannian generalized geometry. From this point, it is a straightforward way to the replacement of an ordinary scalar curvature by the generalized one in Einstein-Hilbert action. Obtained action closely resembles the supergravity action, especially the bosonic part. Na zklade znalost z diferencilnej geometrie je predstaven zoveobecnen geometria. V dsledku symetri tejto novej geometrie sa prirodzene vynra B-pole znme z terie strn. Taktie bola zkontruovan zoveobecnen metrika pozostvajca z klasickej metriky a u spomnanho B-poa. Hore uveden truktry umouj zavies konexiu na zoveobecnenej geometrii a rozvin Riemannovsk zoveobecnen geometriu. Nahradenm obyajnej krivosti za zoveobecnen v Einstein-Hilbertovej akcii dostvame akciu npadne podobn boznovej asti akcie supergravitcie.
Keywords: B-field; Courant bracket; Einstein-Hilbert action; generalized metric; B-pole; Courantová zátvorka; Einstein-Hilbertová akcia; zovšeobecnená metrika

Institution: Charles University Faculties (theses) (web)
Document availability information: Available in the Charles University Digital Repository.
Original record: http://hdl.handle.net/20.500.11956/72567

Permalink: http://www.nusl.cz/ntk/nusl-484719


The record appears in these collections:
Universities and colleges > Public universities > Charles University > Charles University Faculties (theses)
Academic theses (ETDs) > Bachelor's theses