شماره راهنما :
1243 دكتري
پديد آورنده :
مولائي، زهرا
عنوان :
تحليل هاميلتوني نظريه‌هاي گرانش جرم‌دار و دو گرانش HR ، بررسي مساله‌ي شبح و دوشاخگي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده فيزيك
صفحه شمار :
نه، ۱۴۶ص.: مصور
استاد راهنما :
احمد شيرزاد
استاد مشاور :
بهروز ميرزا
توصيفگر ها :
نظريه گرانش جرم‌دار , دو گرانش , شبح , تحليل هاميلتوني , فرمول بندي متريك , فرمول بندي ويربين , چارچوب استاكلبرگ , دوشاخگي
استاد داور :
ممتحن مدعو: فاطمه شجاعي، رضا فارغ بال; ممتحن داخلي: رضا خسروي
تاريخ ورود اطلاعات :
1397/07/23
كد ايرانداك :
ID1243 دكتري
چكيده انگليسي :
Hamiltonian analysis of Massive Bi gravity considering problem of ghost and bifurcation Zahra Molaee Zahra molaei@ph iut ac ir September 10 2018 Department of Physics Isfahan University of Technology Isfahan 84156 83111 Iran University Code IUT 77142Degree PhD Language FarsiSupervisor Ahmad Shirzad shirzad@ipm ir AbstractMassive gravity is also important for addressing significant open questions such as thecosmological constant problem dark matter and dark energy It is expected that massivegravity can answer questions related to these issues Stability of these theories isimportant too Appearance ghost in these theories shows an unbounded Hamiltonian Inthis thesis recent progress in massive gravity theories has been studied Our surveyextends from massive spin 2 theory given by Fierz and Pauli in 1939 to Hassan andRosen model of massive gravity in 2011 We investigate the exact Hamiltonian analysisof massive gravity and bi gravity in metric and vierbein formalisms and also inStuckelberg framework Using the Hamiltonian analysis at the nonlinear level and in thefull phase space we would be able to determine the presence or absence of ghost Weshow finally that massive gravity model of Hassan Rosen has five degrees of freedom infour dimensions corresponding to one massive graviton We also show that in metricformulation the bi gravity theory of Hassan and Rosen possesses 7 dynamical degrees offreedom corresponding to one massless graviton and one massive graviton We emphasisthe bifurcation problem in the context of constrained systems and show that this happensfor bi gravity several times We also analyze a model without square root using adi erent set of lapse and shift variables We show that it is not improbable to have aghost free model of this kind We also study the Hamiltonian analysis of bi gravity invierbein formalism in which in addition to diffeomorphism invariance there is also localLorentz symmetry Keyword Massive gravity Bi gravity ADM formalism Stuckelberg formalism Vierbein formalism ghost bifurcation problem
استاد راهنما :
احمد شيرزاد
استاد مشاور :
بهروز ميرزا
استاد داور :
ممتحن مدعو: فاطمه شجاعي، رضا فارغ بال; ممتحن داخلي: رضا خسروي
