Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-02
Phys.Rev. D65 (2002) 064020
Physics
High Energy Physics
High Energy Physics - Theory
14 pages with 1 figure, LaTeX. To appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.65.064020
We study the Hawking-Turok (HT) instanton solutions which have been employed to describe the creation of an open inflationary universe, in the context of higher derivative theories. We consider the effects of adding quadratic and cubic terms of the forms $\alpha R^{2}$ and $\beta R^{3}$ to the gravitational action. Using a conformal transformation to convert the higher derivative theories into theories of self interacting scalar fields minimally coupled to Einstein gravity, we argue that the cubic term represents a generic perturbation of the polynomial type to the action and obtain the conditions on the parameters of these theories for the existence of singular and non-singular instanton solutions. We find that, relative to the quadratic case, there are significant changes in the nature of the constraints on the parameters for the existence of these instantons, once cubic (and higher order perturbations) are added to the action.
Mukherjee Soma
Paul Bikash Chandra
Tavakol Reza
No associations
LandOfFree
Singular instantons in higher derivative theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Singular instantons in higher derivative theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular instantons in higher derivative theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-565015