On the dynamics of the universe in D spatial dimensions
In this paper we present the equations of the evolution of the universe in D spatial dimensions, as a generalization of the work of Lima (2001). We discuss the Friedmann-Robertson-Walker cosmological equations in D spatial dimensions for a simple fluid with equation of state p = ωD ρ. It is possible to reduce the multidimensional equations to the equation of a point particle system subject to a linear force. This force can be expressed as an oscillator equation, anti-oscillator or a free particle equation, depending on the k parameter of the spatial curvature. An interesting result is the independence on the dimension D in a de Sitter evolution. ® We also stress the generality of this procedure with a cosmological A term. A more interesting result is that the reduction of the dimensionality leads naturally to an accelerated expansion of the scale factor in the plane case.
| Main Authors: | , |
|---|---|
| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Nacional Autónoma de México, Instituto de Astronomía
2012
|
| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0185-11012012000200009 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|