9709

8953

كارشناسي ارشد

ذرات بنيادي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده فيزيك

1393

هفت،74ص.

ص.ع.به فارسي و انگليسي

احمد شيرزاد

فرهنگ لران اصفهاني

94/1/18

بهروز ميرزا

داخلي: مسلم زارعي

فيزيك

ID8953

Hamiltonin of Dust Collapses in 2 1 Dimensions Mohsen Rezaei mohsen rezaie@ph iut ac ir 29 12 2014 Department of Physics Isfahan University of Technology Isfahan 84156 83111 Iran Degree M Sc Language FarsiSupervisor Dr Ahmad Shirzad shirzad@ipm irAbstractGeneral relativity in 2 1 dimensions is important because its mathematical is more simple than fourdimensional gravity so we considered some aspect of 2 1 dimensional gravity and its diffrence withfour dimensional gravity Hamiltonain formalism has a special role in modern physics so we studied canonical gravity bymeans of spacetime decomposition in ADM approach and it able us to counting degree of freedomin phase space also we attend to the boundary term in canonical gravity We calculate BTZ blackhole solution by constrained systems and we showed that BTZ solution can be determined by gaugefixing in phase space For the purpose of constructing a hamiltonian formalism for gravitational fieldcoupled to matter we considered LTB model In this model dust is the source of matter and assumethat be inhomogeneous and irrotational It is showed that under which circumstance dust collapses canshapes the BTZ black hole with zero angular momentum and how is the behavior of sigularity evenhorizon and apparent horizon For constructing LTB Hamiltonian we using constrained systems tocalculating first and second class constraint Also we showed the equations of motion of irrotationaldust can be determined by a gauge fixing At the end We have a short discussion about aspect ofquantizing this system Keywords BTZ black hole LTB model ADM dicomposition constrained systems

احمد شيرزاد

فرهنگ لران اصفهاني