Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric
Keyword(s):
We study the quantum cosmology of a quadratic fR theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamic of the scalar field is induced. The classical equations of motion and the Wheeler-DeWitt equation, in their exact versions, are solved numerically. There is a free parameter in the action from which two cases follow: inflation + exit and inflation alone. The numerical solution of the Wheeler-DeWitt equation depends strongly on the boundary conditions, which can be chosen so that the resulting wave function of the universe is normalizable and consistent with Hermitian operators.
1994 ◽
Vol 03
(03)
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pp. 609-621
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1999 ◽
Vol 08
(05)
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pp. 625-634
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1997 ◽
Vol 12
(05)
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pp. 859-871
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2020 ◽
Vol 29
(06)
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pp. 2050039
1997 ◽
Vol 06
(06)
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pp. 649-671
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2012 ◽
Vol 27
(33)
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pp. 1250189
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1988 ◽
Vol 03
(07)
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pp. 645-651
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2014 ◽
Vol 23
(05)
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pp. 1450043
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