A note on dilaton gravity with non-smooth potentials

Details A note on dilaton gravity with non-smooth potentials A note on dilaton gravity with non-smooth potentials

2005-02-08

arxiv.org/abs/gr-qc/0502030v2

Mod.Phys.Lett. A20 (2005) 1057-1064

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 1 table; two new references, some typos corrected, Dedicated to Wolfgang Kummer at the occasion of his Emeritierung

Scientific paper

10.1142/S0217732305017172

Recent interest in brane world models motivates the investigation of generic first order dilaton gravity actions, with potentials having some non-smoothness. We consider two different types of \delta-like contributions in the action and analyse their effects on the solutions. Furthermore a second source of non-smoothness arises due to the remaining ambiguities in the solutions in the separated smooth patches, after fixing all other constants by matching and asymptotic conditions. If moreover staticity is assumed, we explicitly construct exact solutions. With the methods described, for example models with point like sources or brane world models (where the second source of non-smoothness becomes crucial), can now be treated as non-smooth dilaton gravity theories.

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