8575

7956

كارشناسي ارشد

ذرات بنيادي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده فيزيك

1392

هشت،44ص.: مصور

ص.ع.به فارسي و انگليسي

فرهنگ لران

منصور حقيقت

6/12/92

بهروز ميرزا، مسلم زارعي

فيزيك

ID7956

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Abstract In this project we study gravity in 2 1 dimensions With a fewer number of degrees of freedom 2 1 dimensional problem is less complicated than the 3 1 dimensional one We study Anti de sitter space which is a solution to the Einstein s field equation with negative cosmological constant It is known that BTZ black hole can be obtained by identifying one of the direction anti de Sitter space The 2 1 dimensional black hole is very much alike to what Kerr black hole is it has an inner and an outer horizon and it is described by a specified mass and angular momentum Hence the gravity in 2 1 dimensions can be considered as a useful model for better understanding of the 3 1 dimensional gravity We review the geometry of wormholes Lorentzian and Euclidian as another classes of solutions to the Einstein s field equation with negative cosmological constant We study these solutions by investigating the symmetry groups of the corresponding space times In the BTZ black hole one encounters closed time like curves in casual structure space time One way to resolve this problem is to introduce O BTZ solution The structure of the O BTZ is a orbifolding of the space time In this geometry there is no closed time like curves therefore the structure of O BTZ is a causally complete We investigate the scalar field with conformal coupling in the BTZ and O BTZ background Using the two point function and by applying the projection method we achieve the two point function of BTZ space time Using this two point function we find the vacuum expectation value of the energy momentum tensor Our motivation in calculating this quantity in the rotating black hole backgrounds is to study the quantum stability of black hole horizons We see that this quantity at the inner horizon of the BTZ diverges This shows that the BTZ inner horizon is not stable in the presence of vacuum quantum fluctuations of the scalar field Whilst by calculating the vacuum expectation value in the O BTZ background this quantity is finite everywhere This shows that the probe approximation is well defined in the O BTZ background Keywords BTZ black hole Wormhole O BTZ wormhole conformal coupling PDF created with pdfFactory trial version www pdffactory com

فرهنگ لران

منصور حقيقت

بهروز ميرزا، مسلم زارعي