Abstract
We consider a five dimensional warped spacetime where the bulk geometry is governed by higher curvature F(R) gravity. In this model, we determine the modulus potential originating from the scalar degree of freedom of higher curvature gravity. In the presence of this potential, we investigate the possibility of modulus (radion) tunneling leading to an instability in the brane configuration. Our results reveal that the parametric regions where the tunneling probability is highly suppressed, corresponds to the parametric values required to resolve the gauge hierarchy problem.
Highlights
Over the last two decades models with extra spatial dimensions [1,2,3,4,5,6,7,8,9,10,11,12,13] have been increasingly playing a central role in search for physics beyond standard model of elementary particle [14,15] and Cosmology [16,17]
It is well known that Einstein–Hilbert action can be generalized by adding higher order curvature terms which naturally arise from diffeomorphism property of the action
Considering that the scalar field depends on extra dimensional coordinate only (see Eq (14)), the total derivative term can be integrated once leading to the final form of the action as follows: S=
Summary
Over the last two decades models with extra spatial dimensions [1,2,3,4,5,6,7,8,9,10,11,12,13] have been increasingly playing a central role in search for physics beyond standard model of elementary particle [14,15] and Cosmology [16,17]. For bulk geometry where the curvature is of the order of Planck scale, the higher curvature terms should play a crucial role Motivated by this idea, in the present work, we consider a generalized warped geometry model by replacing Einstein–Hilbert bulk gravity action with a higher curvature F(R) gravitational theory [41, 42, 47,48,49,50,51,52,53]. We include Gibbons–Hawking boundary terms on the branes, symbolized by Qh and Qv in the above action (i.e Qh, Qv are the trace of extrinsic curvatures on hidden, visible brane respectively) This higher curvature F(R) model (in Eq (5)) can be transformed into a scalar–tensor theory by using the technique discussed in the previous section. Considering that the scalar field depends on extra dimensional coordinate only (see Eq (14)), the total derivative term can be integrated once leading to the final form of the action as follows: e−. Considering a negligible backreaction of the scalar field ( ) on the background spacetime, the solution of metric G M N is exactly same as well known RS model i.e
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