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