Mathematics – Logic
Scientific paper
May 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007gregr..39..621v&link_type=abstract
General Relativity and Gravitation, Volume 39, Issue 5, pp.621-632
Mathematics
Logic
3
Exact Solutions, General Relativity, Massless Scalar Field, Dark Energy, Domain Walls, Cosmology
Scientific paper
The Klein Gordon equations are solved for the case of a plane-symmetric static massless scalar field in general relativity with cosmological constant, generalizing the solutions found by Taub, Novotny and Horsky, and Singh. A separate class of solutions is obtained in which the metrics reduce to flat space in the limit that Λ rightarrow 0.The static solutions can be used to generate time-dependent cosmological solutions, one of which exhibits rapid inflation followed by continued exponential expansion at all later times.
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