Some Unusual Dimensional Reductions of Gravity: Geometric Potentials, Separation of Variables, and Static - Cosmological Duality

Details Some Unusual Dimensional Reductions of Gravity: Geometric Potentials, Separation of Variables, and Static - Cosmological Duality Some Unusual Dimensional Reductions of Gravity: Geometric Potentials, Separation of Variables, and Static - Cosmological Duality

2006-05-29

arxiv.org/abs/hep-th/0605276v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages; misprints in eqs.(29),(44), an awkward phrase after eq.(16), and the title of ref.[11] are corrected; also several l

Scientific paper

We discuss some problems related to dimensional reductions of gravity theories to two-dimensional and one-dimensional dilaton gravity models. We first consider the most general cylindrical reductions of the four-dimensional gravity and derive the corresponding (1+1)-dimensional dilaton gravity, paying a special attention to a possibility of producing nontrivial cosmological potentials from pure geometric variables (so to speak, from `nothing'). Then we discuss further reductions of two-dimensional theories to the dimension one by a general procedure of separating the space and time variables. We illustrate this by the example of the spherically reduced gravity coupled to scalar matter. This procedure is more general than the usual `naive' reduction and apparently more general than the reductions using group theoretical methods. We also explain in more detail the earlier proposed `static-cosmological' duality (SC-duality) and discuss some unusual cosmologies and static states which can be obtained by using the method of separating the space and time variables.

Affiliated with

Also associated with

No associations

Rating

Some Unusual Dimensional Reductions of Gravity: Geometric Potentials, Separation of Variables, and Static - Cosmological Duality 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 Some Unusual Dimensional Reductions of Gravity: Geometric Potentials, Separation of Variables, and Static - Cosmological Duality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Unusual Dimensional Reductions of Gravity: Geometric Potentials, Separation of Variables, and Static - Cosmological Duality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168390