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On exact solutions to the scalar field equations in standard cosmology

2008/06/13 by M. Reyes, Marco A. Reyes, Reyes, Marco A.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.0806.2292

5 pages, 1 figure

arxiv created 2008/06/13 · openalex publication_date 2008/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple algebraic method to obtain exact solutions to the scalar field equations in spatially flat FRW cosmology is derived. The field potential fuction is reduced to two terms which can be used to determine some characteristic inflationary variables. To demonstrate the method, exact solutions resembling typical potentials of general interest are worked out. Finally, it is shown that this method of solution is also applicable to a perfect fluid in the same metric, for a curvature k>=0 and fixed gamma.

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