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Exact cosmological solutions with nonminimal derivative coupling · Around

2009

Exact cosmological solutions with nonminimal derivative coupling

Sushkov, Sergey V.

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We consider a gravitational theory of a scalar field $\phi$ with nonminimal derivative coupling to curvature.

The coupling terms have the form $\kappa_1 R\phi_{,\mu}\phi^{,\mu}$ and $\kappa_2 R_{\mu\nu}\phi^{,\mu}\phi^{,\nu}$ where $\kappa_1$ and $\kappa_2$ are coupling parameters with dimensions of length-squared.
In general, field equations of the theory contain third derivatives of $g_{\mu\nu}$ and $\phi$.
However, in the case $-2\kappa_1=\kappa_2\equiv\kappa$ the derivative coupling term reads $\kappa G_{\mu\nu}\phi^{,mu}\phi^{,\nu}$ and the order of corresponding field equations is reduced up to second one.

Built on

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