Abstract
We investigate the evolution of different measures of `gravitationalentropy'in Bianchi type I and Lemaître-Tolman universe models.A new quantity behaving in accordance with the second law ofthermodynamics is introduced. We then go on and investigate whether aquantum calculation of initial conditions for the universe based upon theWheeler-DeWitt equation supports Penrose's Weyl curvatureconjecture, according to which the Ricci part of the curvature dominatesover the Weyl part at the initial singularity of the universe. The theory isapplied to the Bianchi type I universe models with dust and acosmological constant and to the Lemaître-Tolman universe models. Weinvestigate two different versions of the conjecture. First, we investigatea local version which fails to support the conjecture. Thereafter weconstruct a non-local entity which shows more promising behaviourconcerning the conjecture.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
