R Benini et al 2005 Class. Quantum Grav. 22 1483 doi:10.1088/0264-9381/22/7/018
R Benini1, A A Kirillov2 and Giovanni Montani3
Show affiliationsWe 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 analysing the Hamiltonian equations we derive the Poincaré return map associated with the Kasner indexes and fix the rules according to which the Kasner vectors rotate. In correspondence to a four-dimensional spacetime, the oscillatory regime here constructed overlaps the usual Belinski–Khalatnikov–Liftshitz one.
Issue 7 (7 April 2005)
Received 23 November 2004
Published 17 March 2005
R Benini et al 2005 Class. Quantum Grav. 22 1483
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