Kozmolojik sabit içeren topolojik kütleli gravitasyonda homojen, anisotropik çözümler

ABSTRACT HOMOGENEOUS,ANISOTROPIC SOLUTIONS OF TOPOLOGICALLY MASSIVE GRAVITY INCLUDING A COSMOLOGICAL CONSTANT Kâmuran Saygılı M.S. in Mathematics Supervisor: Prof. Dr. Yavuz Nutku July 22, 1993 Exact solutions to the field equations of Topologicals massive gravity with a cosmological constant are presented. These are homogoneous,anisotropic Bianchi Type VIII and Type IX manifolds and generalize the finite action vac uum solutions of topologicals massive gravity. We find that only those solutions in which two of the constant scale factors are the same admit a cosmological constant. We also find that, depending on the signature and the sign of the cos mological constant, these solutions point to the existence of a critical value for the topological mass which is determined by the cosmological constant. Ill