2024-03-28T08:23:47Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/374642019-03-05T07:33:30Zcom_10261_45com_10261_4col_10261_298
Vernov, Sergey Yu
2011-07-04T10:10:27Z
2011-07-04T10:10:27Z
2011-03
Theoretical and Mathematical Physics 166 (3) : 392-402 (2011)
0040-5779
http://hdl.handle.net/10261/37464
10.1007/s11232-011-0031-0
1573-9333
We consider a method for seeking exact solutions of the equation of a nonlocal scalar field in a nonflat metric. In the Friedmann-Robertson-Walker metric, the proposed method can be used in the case of an arbitrary potential except linear and quadratic potentials, and it allows obtaining solutions in quadratures depending on two arbitrary parameters. We find exact solutions for an arbitrary cubic potential, which consideration is motivated by string field theory, and also for exponential, logarithmic, and power potentials. We show that the k-essence field can be added to the model to obtain exact solutions satisfying all the Einstein equations.
eng
openAccess
Cosmology
Nonlocal scalar field
Friedmann-Robertson
Walker metric
Exact solution
Elliptic function
Exact solutions of nonlocal nonlinear field equations in cosmology
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