Physics, mathematics, and technology

2013 Issue №10

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Generation of exact solutions of Fridman equations leading to Cardy–Verlinde formula by Darboux transformation



It is considered a possibility of generation of exact solutions for Friedman equations by Darboux transformation, for which Cardy — Verlinde formula is valid. Two modifications of Darboux transformation are offered, which let generate such solutions. Exact solutions are obtained, for which Cardy — Verlinde formula is valid at least near some singularities.


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