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Inflation on a single brane - exact solutions

Rachael M. Hawkins·James E. Lidsey
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Abstract

Algorithms are developed for generating a class of exact braneworld cosmologies, where a self-interacting scalar field is confined to a positive-tension brane embedded in a bulk containing a negative cosmological constant. It is assumed that the five-dimensional Planck scale exceeds the brane tension but is smaller than the four-dimensional Planck mass. It is shown that the field equations can be expressed as a first-order system. A number of solutions to the equations of motion are found. The potential resulting in the perfect fluid model is identified.

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Rachael M. Hawkins, James E. Lidsey. 2000-11-17. Inflation on a single brane - exact solutions. https://doi.org/10.1103/physrevd.63.041301

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