Toda chains with type A_m Lie algebra for multidimensional m-component perfect fluid cosmology

Details Toda chains with type A_m Lie algebra for multidimensional m-component perfect fluid cosmology Toda chains with type A_m Lie algebra for multidimensional m-component perfect fluid cosmology

1998-04-29

arxiv.org/abs/gr-qc/9804080v1

Gen.Rel.Grav. 31 (1999) 139-155

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 2 ps figures

Scientific paper

We consider a D-dimensional cosmological model describing an evolution of Ricci-flat factor spaces, M_1,...M_n (n > 2), in the presence of an m-component perfect fluid source (n > m > 1). We find characteristic vectors, related to the matter constants in the barotropic equations of state for fluid components of all factor spaces. We show that, in the case where we can interpret these vectors as the root vectors of a Lie algebra of Cartan type A_m=sl(m+1,C), the model reduces to the classical open m-body Toda chain. Using an elegant technique by Anderson (J. Math. Phys. 37 (1996) 1349) for solving this system, we integrate the Einstein equations for the model and present the metric in a Kasner-like form.

Affiliated with

Also associated with

No associations

Rating

Toda chains with type A_m Lie algebra for multidimensional m-component perfect fluid cosmology 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 Toda chains with type A_m Lie algebra for multidimensional m-component perfect fluid cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toda chains with type A_m Lie algebra for multidimensional m-component perfect fluid cosmology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-448665