Massimo Giovannini 2006 Class. Quantum Grav. 23 L73 doi:10.1088/0264-9381/23/23/L01
Massimo Giovannini
Show affiliationsA class of five-dimensional warped solutions is presented. The geometry is everywhere regular and tends to five-dimensional anti-de Sitter space for large absolute values of the bulk coordinate. The physical features of the solutions change depending on the value of an integer parameter. In particular, a set of solutions describes generalized gravitating kinks where the scalar field interpolates between two different minima of the potential. The other category of solutions describes instead gravitating defects where the scalar profile is always finite and reaches the same constant asymptote both for positive and negative values of the bulk coordinate. In this sense the profiles are non-topological. The physical features of the zero modes are discussed.
04.50.-h Higher-dimensional gravity and other theories of gravity
53A45 Vector and tensor analysis
83E15 Kaluza-Klein and other higher-dimensional theories
53B21 Methods of Riemannian geometry
53A55 Differential invariants (local theory), geometric objects
Issue 23 (7 December 2006)
Received 27 July 2006, in final form 5 October 2006
Published 24 October 2006
Massimo Giovannini 2006 Class. Quantum Grav. 23 L73
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