Regularity of Cauchy horizons in S2 × S1 Gowdy spacetimes

Jörg Hennig (1) , Marcus Ansorg (2)

1 AEI - Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
2 Institute of Biomathematics and Biometry

We study general S 2 × S 1 Gowdy models with a regular past Cauchy horizon and prove that a second (future) Cauchy horizon exists, provided that a particular conserved quantity J is not zero. We derive an explicit expression for the metric form on the future Cauchy horizon in terms of the initial data on the past horizon and conclude the universal relation A p A f = (8πJ) 2 where A p and A f are the areas of past and future Cauchy horizon respectively.

Mots clés: 98.80.Jk; 04.20.Cv; 04.20.Dw

Jörg Hennig, Marcus Ansorg. Regularity of Cauchy horizons in S2 × S1 Gowdy spacetimes. Classical and Quantum Gravity, 2010, 27 (6), pp.65010. ⟨10.1088/0264-9381/27/6/065010⟩. ⟨hal-00578462⟩