Mathematics – Logic
Scientific paper
Aug 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jmp....37.4025k&link_type=abstract
Journal of Mathematical Physics, Vol. 37, No. 8, p. 4025 - 4033
Mathematics
Logic
2
Gravitation Theory: Cosmological Models
Scientific paper
By using Lyapounov's direct method the authors examine the conditions under which stable solutions to the field equations for the scale function of the external space may be derived in the context of a five-dimensional quadratic theory of gravity. They show that the time evolution of the distance, in a diagram t-R, between the solution to the field equations and a neighbouring one is determined, in the linear approximation, in terms of a second-order linear differential equation. Asking for bounded solutions of this equation the authors arrive at a stability criterion for the external scale function solutions, indicating that there exist three types of cosmological evolution of the visible universe which are linearly stable at all times. These are (1) the Milne model, (2) the spatially flat Friedmann radiation solution, and (3) the De Sitter inflationary solution.
Kleidis Kostas
Papadopoulos Demetrios B.
Varvoglis Harry
No associations
LandOfFree
Conditions on the stability of the external space solutions in a higher-dimensional quadratic theory of gravity. does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conditions on the stability of the external space solutions in a higher-dimensional quadratic theory of gravity., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conditions on the stability of the external space solutions in a higher-dimensional quadratic theory of gravity. will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-773552