J L P Karthauser and P M Saffin 2006 Class. Quantum Grav. 23 4615 doi:10.1088/0264-9381/23/14/004
J L P Karthauser1 and P M Saffin2
Show affiliationsIn this paper we consider cosmological scaling solutions in general relativity coupled to scalar fields with a non-trivial moduli space metric. We discover that the scaling property of the cosmology is synonymous with the scalar fields tracing out a particular class of geodesics in moduli space—those which are constructed as integral curves of the gradient of the log of the potential. Given a generic scalar potential we explicitly construct a moduli metric that allows scaling solutions, and we show the converse—how one can construct a potential that allows scaling once the moduli metric is known.
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
85A40 Cosmology (For relativistic cosmology, see 83F05)
Issue 14 (21 July 2006)
Received 13 April 2006, in final form 26 May 2006
Published 20 June 2006
J L P Karthauser and P M Saffin 2006 Class. Quantum Grav. 23 4615
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