Oscillatory regime in the Multidimensional Homogeneous Cosmological Models Induced by a Vector Field

Details Oscillatory regime in the Multidimensional Homogeneous Cosmological Models Induced by a Vector Field Oscillatory regime in the Multidimensional Homogeneous Cosmological Models Induced by a Vector Field

2005-05-06

arxiv.org/abs/gr-qc/0505027v1

Class.Quant.Grav. 22 (2005) 1483-1491

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, published on Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/22/7/018

We show that in multidimensional gravity vector fields completely determine the structure and properties of singularity. It turns out that in the presence of a vector field the oscillatory regime exists in all spatial dimensions and for all homogeneous models. By analyzing the Hamiltonian equations we derive the Poincar\'e return map associated to the Kasner indexes and fix the rules according to which the Kasner vectors rotate. In correspondence to a 4-dimensional space time, the oscillatory regime here constructed overlap the usual Belinski-Khalatnikov-Liftshitz one.

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