14593

1378 دكتري

دكتري

ذرات بنيادي

اصفهان : دانشگاه صنعتي اصفهان

1397

هشت، 148 ص. ، مصور، جدول، نمودار

بهروز ميرزا

احمد شيرزاد

علي ايمانپور، علي مهدي فر

1398/02/04

كتابنامه

فيزيك

فيزيك

1398/02/16

2528745

AbstractThis thesis investigates geometric thermodynamics for black holes First one has introducedfour different geometric thermodynamics models included in Weinhold and Ruppeiner mod els Geometrothermodynamics and Q metric Then Poisson and Numbo bracket method hasintroduced in order to fluency in writing thermodynamics relations It has been applied theconcept of extrinsic curvature for hypersurfaces in geometric thermodynamic The role ofthis quantity has been investigated in prediction of phase transition points and stable unstableareas The extrinsic curvature has been calculated for Pauli gas and some black holes thenhas been showed correspondence of phase transition points and singularities of scalar curva ture This study investigates a new solution of Einstein gravity equations in d 1 dimensional thatis in based on generalization BTZ space time to higher dimensions with toroidal horizons This metric has considered for horizon topology asymptotic and closed timelike curves Thermodynamic aspects of these solutions have been studied and some quantities such asentropy have been found in common approach and Solution Phase Space Method SPSM Also in the present study we found interior solution for charged and uncharged cases andinvestigated completely their physical aspects Studding of Newman Janis algorithm in generalization of nonrotating Einstein solutions torotating solutions is a part of the thesis This algorithm has been applied for obtaining rotat ing Myers Perry black hole solution that have two rotational parameters Using quaternions we are able to find these solution only in one step The results of this thesis can help us tounderstand blackholes physics and explore their statistical microstates In the end it havebeen suggested some proposals continuing and completing these studies Keywords Geometric thermodynamics Extrinsic curvature Phase transition Toroidalhorizon Closed timelike curves Conserved charge Newman Janis algorithm Quaternion

بهروز ميرزا

احمد شيرزاد

علي ايمانپور، علي مهدي فر